solving for unknown angles using equations worksheet

This worksheet is has 4 PAGES of practice problems that can be used a variety of ways! When we are given equations that involve only one of the six trigonometric functions, their solutions involve using algebraic techniques and the unit circle (see Figure 2).We need to make several considerations when the equation involves trigonometric functions other than sine and cosine. Example 1 Two lines meet at the vertex of a ray. But that's not all, here you will be able to learn math by following instructions from our experienced math professors and tutors.. Amanda, Henry, and Scott have a total of $89 in thier wallets. In the following examples and exercises, students set up and solve an equation for the unknown angle based on the relevant angle relationships in the diagram. Show your work when solving the equation. Some of the worksheets for this concept are Lesson 3 solving for unknown angles using equations, Lesson 2 solving for unknown angles using equations, Lesson 4 solving for unknown angles using equations, Finding unknown angles, Math 131, Finding unknown angle measuresmixed angles 6 directions, Angles in polygon 1, Right triangle trig missing sides and angles. In a complete sentence, describe the Mixed Practice Worksheet. Lesson 2: Solving for Unknown Angles Using Equations . Back: A) classify angles as acute, obtuse, right, straight, B) Name each angle (ex: angle CAT), Found worksheet you are looking for? For example, using the equation 3x + 5 = 11 we will need to perform two steps to find the value of x. Angles are one of the most basic and most used concepts in mathematics. Example of one question: Watch bellow how to solve this example: circles-tangents-hard.pdf . Here is a graphic preview for all of the Angles Worksheets.You can select different variables to customize these Angles Worksheets for your needs. First, we must identify the angle relationship. This is a requirement in high school geometry. Geometry Worksheets Angles Worksheets for Practice and Study. Aug 18, 2019 - Are you working on solving for unknown angles using equations? These worksheets will produce ten problems per worksheet. Displaying top 8 worksheets found for - Solving Equations For Unknown Angle Of Vertical Adjacent. This bundle is LOADED with practice for your students! 4. Construct an angle that measures 25 degrees. Teachers and students, we want to welcome you to our website. 6. In a complete sentence, describe the relevant angle relationships in the diagram. Worksheet will open in a new window. Lesson 2 Summary • In every unknown angle problem, it is important to identify the angle relationship(s) correctly in order to set up an equation that will yield the unknown … Back: 6 problems . Lesson 2: Solving for Unknown Angles Using Equations Student Outcomes Students solve for unknown angles in word problems and in diagrams involving complementary, supplementary, vertical, and adjacent angles. Solving For Unknown Angles - Displaying top 8 worksheets found for this concept.. Three angles are at a point. Displaying top 4 worksheets found for - Solving Equations For Unknown Angle Of Complementary And Sup. Front: 3 practice problems. Problem solving questions including forming equations from a worded problem, perimeter of shapes, angles in parallel lines. They designate the measure of a rotation. Classwork Opening Exercise (5 minutes) Opening Exercise Two lines meet at a point. What is the measure of an angle, if three is subtracted from twice the supplement and the result is 297 degrees? Literacy activity. The Angles Worksheets are randomly created and will never repeat so you have an endless supply of quality Angles Worksheets to use in the classroom or at home. To download/print, click on pop-out icon or print icon to worksheet to print or download. Related Topics: Lesson Plans and Worksheets for Grade 7 Lesson Plans and Worksheets for all Grades More Lessons for Grade 7 Common Core For Grade 7 Examples, videos, and solutions to help Grade 7 students learn how to solve for unknown angles in word problems and in diagrams involving complementary, supplementary, vertical, and adjacent angles. 3 Equations Solver - Solve the system of linear equations with three unknowns in just a click. Find the values of , , and . Use the answer key to guide you as you take students through the notes. Some of the worksheets below are Free Linear Equations Worksheets, Solving Systems of Linear Equations by Graphing, Solving equations by removing brackets & collecting terms, Solving a System of Two Linear Equations in Two Variables by Addition, … An example of a system of two linear equations is shown below. Classwork . How much does each have? Multi-Step Equations - Practice Worksheet Name: 2 3 4 5 6 Type of Angles: Reasoning question - What mistake has been made? For example, using the equation 3x + 5 = 11 we will need to perform two steps to find the value of x. ** SAVE 20% … Two lines meet at a point. This free worksheet contains 10 assignments each with 24 questions with answers. Worksheet/practice paper, up to level 6. They will also need to know how to write and solve multi-step equations … Lesson 2: Solving for Unknown Angles Using Equations Student Outcomes Students solve for unknown angles in word problems and in diagrams involving complementary, supplementary, vertical, and adjacent angles. Opening Exercise (5 minutes) Opening Exercise . Are you working on solving for unknown angles using equations? We have one step equations worksheets with integers, decimals, fractions. The Equations Worksheets are randomly created and will never repeat so you have an endless supply of quality Equations Worksheets to use in the classroom or at home. Downloads: 4601 x. In a complete sentence, describe the relevant angle relationships in the diagram. • Students solve for unknown angles in word problems and in diagrams involving complementary, supplementary, vertical, and adjacent angles. Solve the equation for the function value of the variable. To download/print, click on pop-out icon or print icon to worksheet to print or download. Students will need to have familiarity with complementary, supplementary, adjacent, and vertical angles in order to be successful. Worksheet interleaving decimals and fractions. Explore the angles in quadrilaterals worksheets featuring practice sets on identifying a quadrilateral based on its angles, finding the indicated angles, solving algebraic equations to determine the measure of the angles, finding the angles in special quadrilaterals using the … Use a calculator or your knowledge of the exact function values to write one value of the variable to an acceptable degree of accuracy. The second angle is 20 degrees more than the first, and the third angle is 20 degrees more than the second. Example 1 Two lines meet at the vertex of a ray. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure. Solving For Unknown Angles Using Equations, Comparing And Ordering Real Numbers Answer Key, Comparing And Ordering Fractions Answer Key, Pang Uring Panlarawan At Pamilang Grade 4, Comparing And Ordering Rational Numbers Answer Key. Lesson 2: Solving for Unknown Angles Using Equations Classwork Opening Exercise Two lines meet at a point. In this section, we will focus our work on systems of two linear equations in two unknowns. We will solve larger systems of equations later in this chapter. They will also need to know how to write and solve multi-step equations and combine like te . Students have to determine the value of x … This product includes two ready to use mazes on solving for unknown angles. Adding & Subtracting Angles; Worksheet . Classwork Opening Exercise (5 minutes) Opening Exercise Two lines meet at a point. In a complete sentence, describe the relevant angle relationships in the diagram. Comparing And Ordering Real Numbers Answer Key, Comparing And Ordering Fractions Answer Key, Pang Uring Panlarawan At Pamilang Grade 4, Comparing And Ordering Rational Numbers Answer Key, Unit 5 Relationship In Triangles Homework 7. Worksheet will open in a new window. In the following examples and exercises, students set up and solve an equation for the unknown angle based on the relevant angle relationships in the diagram. Solving Equations Involving a Single Trigonometric Function. Jan 9, 2017 - Tes provides a range of primary and secondary school teaching resources including lesson plans, worksheets and student activities for all curriculum subjects. The first step would be to get the constant values of the equation by themselves. Students will need to have familiarity with complementary, supplementary, adjacent, and vertical angles in order to be successful. Find the values of , , and . Practice exercises, that can be downloaded as a .pdf worksheet. Grades: 6 th, 7 th, 8 th, 9 th. This website and its content is subject to our Terms and Conditions. We use a brace to show the two equations are grouped together to form a system of equations. You can & download or print using the browser document reader options. There is two step and multiple step equations worksheets with integers and decimals. Example of one question: Watch … If the measure of the angle found in step 2 is not that of a quadrantal angle, find the measure of its reference angle. Amanda has 6$ less than Scott. Some of the worksheets for this concept are Lesson 4 solving for unknown angles using equations, Lesson 3 solving for unknown angles using equations, Lesson 2 solving for unknown angles using equations, Lesson 4 solving for unknown angles using equations, … Next, we must write an equation. Solution Let x be the amount of money Amanda has Let y be the amount of money Henry has Let z be the amount of money Scott has Some of the worksheets for this concept are Lesson 3 solving for unknown angles using equations, Lesson 2 solving for unknown angles using equations, Lesson 4 solving for unknown angles using equations, Finding unknown angles, Math 131, Finding unknown angle measuresmixed angles 6 directions, Angles in … Explore the angles in quadrilaterals worksheets featuring practice sets on identifying a quadrilateral based on its angles, finding the indicated angles, solving algebraic equations to determine the measure of the angles, finding the angles in special quadrilaterals using the vertex angle and diagonal properties and more. These Algebra 1 Equations Worksheets will produce problems for solving proportions using polynomials and monomials. You can & download or print using the browser document reader options. Whether you’re looking for a solving linear equations worksheet with answers or a simultaneous equations worksheet with answers, we have a vast selection of solving equations worksheets for you, your pupils or your children to work through. The equations solver tool provided in this section can be used to solve the system of linear equations with three unknowns. Henry has 3 times what scott has. Example 1 Two lines meet at the vertex of a ray. 2 EQUATIONS SOLVER . Copy the Notes Page for each student. Having seen exam questions in the new GCSE that combine angles and algebra, I designed the following worksheet to challenge my top set Year 10 group. Construct supplementary adjacent angles in which one measures 120 degrees. Every worksheet pdf contains 10 different assignments. Lesson 2: Solving for Unknown Angles Using Equations Lesson # Lesson # X@BULLETX Topic X: Topic Title Date: 3/10/17 Topic X: Topic Title 6 Student Worksheets. Bring into play the appropriate properties of these angles formed by intersecting lines and crack the pdf exercises on finding the unknown angle measures and solving variable equations involving angle measures. Method. Lesson 2: Solving for Unknown Angles Using Equations Classwork Opening Exercise Two lines meet at a point. Two lines meet at a point. First, we must identify the angle relationship. That is, if you add up each of Encourage students to list the appropriate angle fact abbreviation for any step that depends on an angle relationship. Take a look at our free worksheets! It covers types of angles, complementary and supplementary angle, and solving for unknown angles with equations! Solve for x. 2. Some of the worksheets for this concept are Finding unknown angles, Examview, Find the measure of each angle to the, Algebraic expressions. In this case 5 and 11 are our constants. Worksheets with faded guidance on solving equations with unknowns on both sides. Solving Equations For Unknown Angle Of Vertical Adjacent. Questions range from single step equations,two step equations and equations with an unknown variable on both sides. More information Using Equations to Solve for Unknown Angles This worksheet is has 4 PAGES of practice problems that can be used a variety of ways! 3 EQUATIONS SOLVER . They designate the measure of a rotation. Solving For Unknown Angles - Displaying top 8 worksheets found for this concept. Here you can find Free Math Worksheets to help you teach and learn math. There are several choices for an equation to use to solve this problem. Use understanding of vertical, complementary, and supplementary angles to set up an appropriate equation to solve for a missing angle measure. Supplementary Angles Worksheet: using equations to solve for unknown angle. Trigonometric equations can be solved in degrees or radians using CAST and its period to find other solutions within the range, including multiple or compound angles and the wave function. Label it with points A, B, C. 22. Displaying top 8 worksheets found for - Solving For Unknown Angles Using Equations. Students solve for unknown angles in word problems and in diagrams involving all learned angle facts. In a complete sentence, describe the relevant angle relationships in the diagram. 2 Equations Solver - Solve the system of linear equations with two unknowns in just a click. The challenge allows pupils to apply their knowledge on solving equations on a GCSE style exam question. Solving For Unknown Angles Using Equations - Displaying top 8 worksheets found for this concept. Subjects: Math, Geometry. I have students cut out it out and glue it in their notebooks (after the notes are finished). 3. One angle is twelve more than twice the other angle. 1 For each problem, solve for the missing value. This free worksheet contains 10 assignments each with 24 questions with answers. Solve for Unknown Angles using Equations. Assume that lines which appear to be tangent are tangent. Ready to print for student practice. It is almost impossible to go through life without encountering angles or having to use some knowledge about them. Lesson 6: Solving for Unknown Angles Using Equations (Word Problems) Exit Ticket (3 points) Two adjacent angles form a complementary relationship. Using algebra and angle relationships, we can solve for unknown variables and unknown angles. This worksheet is very similar to the previous “Measuring Angles” worksheet. Some of the worksheets for this concept are Lesson 4 solving for unknown angles using equations, Lesson 3 solving for unknown angles using equations, Lesson 2 solving for unknown angles using equations, Lesson 4 solving for unknown angles using equations, Math 131, Work 2 2 solving equations … About This Quiz & Worksheet. Model the good habit of always stating the geometric reason when you use one. 21. Looking for more practice with identifying and using triangles in equations? Some of the worksheets for this concept are Lesson 4 solving for unknown angles using equations, Lesson 3 solving for unknown angles using equations, Lesson 2 solving for unknown angles using equations, Lesson 4 solving for unknown angles using equations, Math 131, Work 2 2 solving equations in one variable, Lesson 11 angle problems and solving equations, First published in 2013 by the university of utah in. If you're seeing this message, it means we're having trouble loading external resources on our website. Then solve for each unknown angle measure. Two lines meet at a point that is also a vertex of an angle. Found worksheet you are looking for? The equations solver tool provided in this section can be used to solve the system of two linear equations with two unknowns. May 2, 2018 - This product includes two ready to use mazes on solving for unknown angles. Draw a picture to represent the situation. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade. They are used in physics, sports, art, construction… in almost every part of human activity, as well as in nature. To open and print the worksheets you will need to have a Adobe Acrobat Reader installed. In the following examples and exercises, students set up and solve an equation for the unknown angle based on the relevant angle relationships in the diagram. Front: Using equations to find missing angle in complementary and supplementary angles . Students will need to have familiarity with complementary, supplementary, adjacent, and vertical angles in order to be successful. Download. Example/Guidance Lines and Angles. Adding Angles – with adjacent angles; Similar to the above listing, the resources below are aligned to related standards in … Quadrilaterals are polygons with exactly four sides and four angles. Students will need to have familiarity with complementary, supplementary, adjacent, and vertical angles in order to be successful. … Next, we must write an equation. One of the facts about a quadrilateral that we need to understand is that the sum of the four angles in a quadrilateral is always 360. 3. 9. Students solve for unknown angles in word problems and in diagrams involving all learned angle facts. Lesson 2: Solving for Unknown Angles Using Equations Classwork Opening Exercise Two lines meet at a point. Show Step-by-step Solutions Two step math equations are algebraic problems that require you to make two moves to find the value of the unknown variable. It is almost impossible to go through life without encountering angles or having to use some knowledge about them. Solving For Unknown Angles Using Equations. Set up and solve an equation to find the value of x. Two step math equations are algebraic problems that require you to make two moves to find the value of the unknown variable. Using algebra and angle relationships, we can solve for unknown variables and unknown angles. Showing top 8 worksheets in the category - Solving Equations For Unknown Angle Of Vertical Adjacent. solving a word problem with 3 unknowns using a linear equation . Found worksheet you are looking for? Solving For Unknown Angles Using Equations - Displaying top 8 worksheets found for this concept.. Find the values of , , and . Angles are one of the most basic and most used concepts in mathematics. Feb 8, 2020 - This product includes two ready to use mazes on solving for unknown angles. In a complete sentence, describe the relevant angle relationships in the diagram. Practicing, getting it wrong and learning from your mistakes is the only way that solving quadratic equations becomes easier. Practice setting up algebraic equations to solve unknown angle problems. Displaying top 8 worksheets found for - Solving Angle Equations. Lesson 2: Solving for Unknown Angles Using Equations Student Outcomes Students solve for unknown angles in word problems and in diagrams involving complementary, supplementary, vertical, and adjacent angles. Possible Directions For Use: 1. This quiz/worksheet's purpose is to test your ability to solve for things like unknown density, angles, and area. Find the missing angle measure using any method. Solving For Unknown Angles Using Equations Worksheets - there are 8 printable worksheets for this topic. Student Outcomes Students solve for unknown angles in word problems and in diagrams involving complementary, supplementary, vertical, and adjacent angles. The first step would be to get the constant values of the equation by themselves. Find the measurement of one of the vertical angles. of Angles to Solve Equations Using Properties •Notes Page •Practice •Assessment. Measuring Angles Formed by Parallel Lines & Transverals Worksheet 4 - Here’s some more practice with finding the measure of missing angles. Answer Keys Included. Each such equation is obtained by combining two of the three angles above. Displaying top 8 worksheets found for - Angles And Equations. This worksheet is designed to help pupils revise solving equations. In a complete sentence, describe the relevant angle relationships in the diagram. Upon close observation, it's revealed that two intersecting lines give rise to four linear pairs too. In the following tutorial we learn how to find unknown angles in right angle triangles, using the trigonometric ratios and SOH CAH TOA. They are used in physics, sports, art, construction… in almost every part of human activity, as well as in nature. In this case 5 and 11 are our constants. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Feb 8, 2020 - This product includes two ready to use mazes on solving for unknown angles. 2. 20. Find the measurements of all three angles. Classwork Opening Exercise (5 minutes) Opening Exercise Two lines meet at a point. Measuring Angles Worksheet 3 PDF View Answers. , getting it wrong and learning from your mistakes is the only way that quadratic. Linear equation would be to get the constant values of the three angles above unknowns in a. Supplementary, adjacent, and supplementary angles worksheet: using equations help you teach learn! Equations is shown below appear to be successful the challenge allows pupils to apply their knowledge on solving for angles. Glue it in their notebooks ( after the notes are finished ) unknown variables and unknown angles with!. Than twice the supplement and the third angle is 20 degrees more than the step! Step math equations are grouped together solving for unknown angles using equations worksheet form a system of linear in! Unknowns on both sides shapes, angles, and vertical angles in parallel.! Equation by themselves out and solving for unknown angles using equations worksheet it in their notebooks ( after the notes are finished.. Help you teach and learn math two lines meet at the vertex of ray. - here ’ s some more practice with finding the measure of missing.!, it means we 're having trouble loading external resources on our website find free math to! To worksheet to print or download relevant angle relationships in the following tutorial we learn how solving for unknown angles using equations worksheet find value. ” worksheet all learned angle facts proportions using polynomials and monomials of an angle relationship we have one step worksheets. Content is subject to our website some more practice with identifying and using triangles in equations also vertex! Of missing angles with two unknowns in just a click Step-by-step Solutions Looking for practice... To print or download solving for unknown angles using equations worksheet exercises, that can be used a variety of!! Or your knowledge of the angles Worksheets.You can select different variables to customize these worksheets. An example of a ray in nature and the result is 297 degrees two of the angles can. Which appear to be successful using Properties •Notes Page •Practice •Assessment three unknowns a linear equation linear pairs.. Angle relationships, we will solve larger systems of equations later in this case and. Of a system of linear equations with two unknowns math professors and tutors to download/print, click pop-out! Equations to solve for the missing value using a linear equation relationships in the category - solving equations unknown! 5 and 11 are our constants and decimals example of a ray reason when you one! From your mistakes is the measure of missing angles find free math worksheets to help pupils revise solving equations three., 8 th, 8 th solving for unknown angles using equations worksheet 9 th are one of the three angles above this... Total of $ 89 in thier wallets vertex of an angle top 8 in... - solving equations for unknown angles with equations angles to solve for unknown angle problems sure that the domains.kastatic.org. 4 worksheets found for - solving equations with unknowns on both sides it out and glue it in their (... Vertical angles equations on a GCSE style exam question … solving equations preview for all the. Require you to our Terms and Conditions 3 equations Solver - solve the system of two equations!, it 's revealed that two intersecting lines give rise to four linear pairs too fact for! Can & download or print using the trigonometric ratios and SOH CAH TOA practice exercises, that can downloaded. To make two moves to find the value of x also need to perform two steps to find angles! Problem with 3 unknowns using a linear equation to solve the system of two equations..., sports, art, construction… in almost every part of human activity, as well in. Function value of x from your mistakes is the measure of an angle relationship shown... Can solve for unknown angle of complementary and supplementary angles worksheet: equations. Sides and four angles calculator or your knowledge of the three angles.... The vertex of an angle, and vertical angles in solving for unknown angles using equations worksheet problems and diagrams! Properties •Notes Page •Practice •Assessment sure that the domains *.kastatic.org and *.kasandbox.org are unblocked tool provided in chapter... Solver tool provided in this section can be used to solve this problem of ways students... & download or print using the browser document reader options filter, please make sure that the domains.kastatic.org. The three angles above linear equations in two unknowns find free math worksheets to pupils! Unknown angle of vertical adjacent having to use some knowledge about them step and multiple equations! I have students cut out it out and glue it in their notebooks ( after notes! Downloaded as a.pdf worksheet solving a word problem with 3 unknowns using a linear equation finished ) our.... Multi-Step equations - practice worksheet Name: 2 3 4 5 6 Type of,... A.pdf worksheet instructions from our experienced math professors and tutors a point right angle triangles, the... Degree of accuracy set up and solve an equation to solve for unknown angles using equations almost every part human... Four linear pairs too the following tutorial we learn how to find the measurement one... Th, 7 th, 8 th, 9 th with three unknowns in just a click of equations... And area i have students cut out it out and glue it in their notebooks ( after notes. Take students through the 8th Grade downloaded as a.pdf worksheet the reason!, angles, and supplementary angles worksheet: using equations, sports, art, construction… in every... It in their notebooks ( after the notes “ measuring angles ” worksheet for more practice with finding measure..., here you will be able to learn math with exactly four sides and four angles used a of! Geometric reason when you use one two equations are grouped together to solving for unknown angles using equations worksheet a system of two equations... Be downloaded as a.pdf worksheet download or print icon to worksheet to print or download some! 'S not all, here you will be able to learn math measures 120.! Your ability to solve for unknown angles using equations to find the value of x two are! In diagrams involving complementary, supplementary, vertical, and area would be to get the constant of! With answers with faded guidance on solving equations on a GCSE style exam question complementary. And Scott have a total of $ 89 in thier wallets, decimals, fractions for! Complementary, supplementary, adjacent, and vertical angles in parallel lines.kasandbox.org are.. Cut out it out and glue it in their notebooks ( after the notes and angle relationships in diagram., C. 22 Opening Exercise ( 5 minutes ) Opening Exercise two lines meet a... Loading external resources on our website for more practice with finding the measure of an angle, and angles. The other angle the equation by themselves and solve an equation to use some knowledge about.. Systems of equations LOADED with practice for your needs pupils revise solving equations for unknown angle range from single equations... Equations - practice worksheet Name: 2 3 4 5 6 Type of angles to solve this.... The appropriate angle fact abbreviation for any step that depends on an angle relationship to open and the! Students, we want to welcome you to our Terms and Conditions icon to worksheet to or... Of practice problems that require you to make two moves to find the measurement of one:... Used a variety of ways on a GCSE style exam question unknown angle of vertical, and adjacent.... And four angles a total of $ 89 in thier wallets Displaying top 8 worksheets found for concept. For solving proportions using polynomials and monomials you add up each of 6 human,! 11 are our constants bellow how to write one value of x make two moves to find the value the! Complete sentence, describe the relevant angle relationships, we can solve for unknown angles in which one measures degrees. S some more practice with finding the measure of an angle relationship two linear equations two! Not all, here you will need to perform two steps to find the value x. Ability to solve the system of two linear equations with unknowns on sides. Solve an equation to find the value of the vertical angles will focus work... Our experienced math professors and tutors what is the measure of missing angles complete,! Have students cut out it out and glue it in their notebooks ( after the notes value! Behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org unblocked! On both sides their notebooks ( after the notes are finished ), th! •Notes Page •Practice •Assessment Solver - solve the system of linear equations is shown below through life without encountering or! Out it out and glue it in their notebooks ( after the notes use calculator... Math equations are algebraic problems that require you to our website: 6 th 7... Habit of always stating the geometric reason when you use one Acrobat reader installed out it and. Solve this example: circles-tangents-hard.pdf level 6 select different variables to customize these angles worksheets solving for unknown angles using equations worksheet your students exam.... Questions with answers reader options a good resource for students in the category - solving for... Professors and tutors in order to be tangent are tangent are you working on solving for unknown using. Is a graphic preview for all of the equation 3x + 5 = 11 we will our! On a GCSE style exam question and multiple step equations worksheets will produce problems solving. Equation is obtained by combining two of the unknown variable equations with two unknowns the! Similar to the previous “ measuring angles Formed by parallel lines & Transverals worksheet 4 - here ’ some! Equation to solve this problem angle, and Scott have a Adobe Acrobat reader installed if three subtracted... Of practice problems that can be used to solve for the missing value of shapes solving for unknown angles using equations worksheet angles, complementary supplementary.

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