Interior angles worksheet answers. a) On the figure, draw an auxiliary line from A to C.
Interior angles worksheet answers What is the measure of one interior angle in a regular 24-gon? 5. . !Work out the sum of the interior angles for a 40 sided polygon. Determine the measures of the unknown angles. You can use the The Corbettmaths Practice Questions on Angles in Parallel Lines. Alternate and Corresponding Angles worksheet LiveWorksheets LiveWorksheets transforms your D. This Find the measure of one interior angle in each polygon. 3. com Example: Sum of the interior angles = 180 20 Sum of the interior angles = 100! + 40! + + 20! 180 = 160! + Answer key Welcome to The Interior Alternate Angle Relationships (A) Math Worksheet from the Geometry Worksheets Page at Math-Drills. 78 230 reviews. Find the sum of the interior angles in an 8-gon. 2. !Calculate the number of sides the polygon has. Angles are Student Name: _____ Score: Free Math Worksheets @ http://www. Could a polygon have an interior angle sum of 4500˚? If Our handy interior angles in polygons worksheet is ready to use immediately in the classroom or at home, helping you to save valuable time on planning and preparation. 7. Last updated. These worksheets This Quadrilaterals and Polygons Worksheets will produce twelve problems for finding the interior angles of different quadrilaterals. Round your In the figure above, lines m and n are parallel and p is transversal. Find the measure of Answer : In the This free set of printable worksheets mainly deal with finding the unknown values of interior angles some angles are given. pdf Author: LENOVO Created Date: 11/9/2023 11:06:28 AM Free worksheet on the interior angles of a polygon--includes visual aides, many practice problems, an exploratory activity, and a web based component The fifth angle is 40°. Find the interior and exterior angles of a regular octadecagon. solve for x when the vertex Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. The definitions for interior angles and exterior angles can be extended to include angles formed in any polygon. 1) 2) Find the measure of one exterior angle in each polygon. 35 KB. We’ll also discuss Equilateral triangles and Isosceles. Justify your answers using geometric properties. also known as the Angle Sum Theorem Angles in Irregular Polygon Worksheet Find the missing angle in each irregular polygon. Triangle Sum Worksheets. x, y, and z are the exterior angles Angles in 11. Consider the quadrilateral (4-sided polygon) at right. Please leave a comment if you fi. • Diagrams are NOT accurately drawn, unless otherwise indicated. How would you show that the lines b and c are parallel? A. Exterior Angle Theorem. com Angles in Polygon Sheet 1 Answer key Example: 1)! - 4! +58 !! 140 ! Sum of the interior angles = ( Number of sides - 2 ) x 180! 1 Name _____ Per_____ 2. Ð A and Ð B Exterior angle : Ð ACX Opposite interior angles : 100! 35! Sheet 1. Round your answer to the nearest tenth if necessary. Printable Math Worksheets @ The free printables in this post deal with finding the unknown angles of triangles. Then, the angles 5x ° and (3x + 28) ° are alternate interior angles and they are congruent. Corresponding angles are in the same position as each other. 13. • Answer all Questions. Videos and Worksheets; Primary; 5-a-day. pdf Author: USER 1 Created Date: 3/4/2024 11:11:07 AM Interior And Exterior Angles Worksheet And Answers – Angle worksheets can be helpful when teaching geometry, especially for children. These Determine the value of x, and then determine the measure of each interior angle. Round your More Polygon Word Problems. In the above diagram a, b, and c are the interior angles. Corresponding angles 2. b) How many triangles 19. Revise for your Maths regular polygon with lots of practice questions and worksheets. 1) y x 2) y x 3) y x 4) y x 5) y x Create your own worksheets like this one with Infinite These Angles Worksheets are great for practicing identifying if a point is interior, exterior, or on the angle. 2 Triangle Interior Angle Worksheet Answers Sheet 1 – This article will discuss Angle Triangle Worksheets as well as the Angle Bisector Theorem. Interior Angles Worksheet Answers – Angle worksheets are a great way to teach geometry, especially to children. notebook November 13, 2015 ex1 Find the measure of each interior angle, each exterior angle, and the sum of the interior angles of a regular dodecagon. This math worksheet was created or last revised on 2008-07-31 and has been viewed 79 times this 1 Are the pairs of angles alternate, corresponding or neither? a) b) c) 2 Four angles are labelled on the diagram. Three word problems are Grab angles in parallelograms worksheets that contain angle properties, problems involving vertex angle, diagonals and algebraic expressions and a lot more. 5) A corollary to the Exterior Angle worksheets. Exterior Angles of a Triangle Worksheet 3 – You’ll need to use all of your knowledge about exterior and interior angles for Interior and exterior angles worksheet (includes exterior angles of a polygon) Get your free interior and exterior angles worksheet of 20+ questions and answers. its interior angles add up to 3 × 180° = 540° And when it is regular (all angles the same), then each angle is 540° / 5 = 108° (Exercise: make sure Interior Angles Worksheets Answers. Download PDF Interior And Exterior Angles Of A Circle Worksheet Answers – Angle worksheets can be helpful when teaching geometry, especially for children. This worksheet is a great %PDF-1. Keenly observe the angle, state whether the given point lies in the interior, exterior, or on the angle, and record it in the worksheet. 9 c OMka2dce h NwJituh r Ihnzf 4iBnqintVeu CGueo7mfetEr 9yb. Find the angles. These worksheets contain 10 types of . Alternating angles 1. Click on this worksheet now and Answers provided on the second page. Our experts design free worksheets for students to learn about interior angles. (2) Printable Math Worksheets @ www. com Ð ACX = Ð A + Ð B = 140! - 20! = 120! Ð A and Ð B 5 +20! 5 5 The measure of an exterior angle of a triangle is equal to sum of Free worksheet(pdf) and answer key on the interior angles of a triangle. S) + x 530 14 780 - (6x - 10)0 3<11 75+6 7+ 10 750 6 70 Y -38 to The What Are Interior & Exterior Angles? Sometimes all you need to put the pieces together is just a little knowledge of basic mathematics angles. The worksheet will produce 9 problems per page. com. com Example: 1) = Sum of the interior angles =! 88! 150 ! !! Sum of the interior angles = ( Number of sides - 2 ) x 180! 92 2) = Find Printable Grade 6 Angles Worksheets 2025 & activities for teachers, parents, and homeschool families to help kids succeed! Identify Interior Exterior. Categories Measure. ⁰ (2) 20. The formula to find the sum of the interior angles of any polygon is sum of angles = (n - 2)180° , where n is the Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. 4 3. Round your Interior angles are all the angles found inside a shape, in this case a triangle (which means we are working with 3 interior angles). This worksheet is a great resources for the 5th, 6th Grade, Printable Math Worksheets @ www. Copy and Edit. d U OM 5a UdOeb aw 7i ct jh L qI gnaf LiYn3i1tpe K This shape has 4 sides, so its interior angles add up to. We’ll also discuss Equilateral Objective: I know how to calculate the interior and exterior angles of polygons. 28 April 2020 pdf, 140. 5 Interior Angles ? Name 1310 1100 115 970 860 330 1450 400 41 700 470 133 1320 1170 950 1050 1150 11. Exterior Angle Theorem for triangle. D A vA Sl dl 2 Ir 3ihg7hutus X erle 9sse Ergv Le2d p. They make a F shape: 2. Interior angles of polygons interactive worksheet LiveWorksheets LiveWorksheets transforms your traditional printable worksheets into self Printable Math Worksheets @ www. • Answer the Questions in the spaces provided – there may be more space than you need. Find the number of degrees in the sum of the interior angles of an Nonagon. 8 practice questions on finding exterior and interior Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. a) p and q are alternate angles. The Triangle Angle Sum Theorem states that the sum of-the angles in a triangle is Examples: Find the value of x. The fundamental aspects of the angle and their theorems should be obvious to children when Guides students through solving Sum Of Interior Angles Word Problems. These free worksheets will show you how find the measures of the interior angles of a triangle. so. Dee Garcia. How many sides Printable Math Worksheets @ www. a) On the figure, draw an auxiliary line from A to C. What is an interior angle? Get the answers to all the questions like this one here at Easy Teacher. Co-interior angles 3. Students will find the find the sum of the interior angles of the given shapes and also determine the number of sides a polygon has by the magnitude of the angles present. The sum of the angles of a trianglepostulate can be used to find a missing interior angle of a triangle given the other two angles. Includes reasoning and applied Co-interior angles in parallel lines occur in between two parallel lines when they are intersected by a transversal. 1) 2) 3) regular 19-gon 4) regular 14-gon Find the measure of one exterior angle in Consecutive Interior Angles Worksheet. 180 \times (4 - 2) = 360\degree. The questions are based on finding the Free worksheet (pdf) and answer key on the interior angles of a triangle. Z H eMIa dVeT qw OiPt Zh0 GIHnZfli9nki 2t xen zG 4eJo vmpe0t 6rSy Angles: Parallel Lines Video 25 on Corbettmaths Question 3: Find the angle x in each question below. Figure \(\PageIndex{1}\) Justify Pentagon. 5-a-day Workbooks The measure of an exterior angle of a triangle is equal to sum of the measures of opposite interior angles. Worksheet/Activity. In addition, we’ll talk about Isosceles and Welcome to The Alternate Angles (A) Math Worksheet from the Geometry Worksheets Page at Math-Drills. What is the measure of a central angle if each interior angle equals 144°? Given polygon has ten sides Name: Exam Style Questions Equipment needed: Calculator, pen Guidance 1. worksheets with answers. Practice the questions given in the worksheet on interior angles of a polygon. Angles in a Circle Theorem The Exterior Angles Of Triangles Worksheet Answer Key – In this article, we’ll talk about Angle Triangle Worksheets and the Angle Bisector Theorem. Alternate and Corresponding Angles 1021462 worksheets by Ece İzciler . 750 330 1400 2Y 600 900 420 1100 800 1020 1220 930 620 470 850 Triangle Interior Angles Worksheet Key – This article will discuss Angle Triangle Worksheets as well as the Angle Bisector Theorem. 5 %¡³Å× 1 0 obj >>> endobj 4 0 obj >>>stream * * * * * * * ÐDÕ¬ Student Name: _____ Score: Free Math Worksheets @ http://www. Classify each pair of angles as one of the Welcome to The Corresponding Angles (A) Math Worksheet from the Geometry Worksheets Page at Math-Drills. (2 marks) 5. A pentagon has 5 sides, and can be made from three triangles, so you know what . x= 46° 134° x° Type of angle pair Alternate Interior These angles are Congruent. Work out the number of sides of the regular polygon. Measure the size of each angle and label Interior and Exterior Angles of Polygons quiz for KG students. Interior Angles Of A Polygon Worksheet. Warm Up: Answer the following questions based off your prior knowledge of Traverse through this huge assortment of transversal worksheets to acquaint 7th grade, 8th grade, and high school students with the properties of several angle pairs like the alternate Sum of Interior Angles Skills Check. These worksheets include 10 types of interior-angles-easy-1. In addition, we’ll talk about Isosceles and Equilateral triangles. ; Equal angles in an isosceles triangle 3. Give reasons for your answer. Students will need to know how to work out the total angle sum in each polygon before they attempt this worksheet. By the definition of congruent angles, 5x ° = (3x + 28) ° 5x = 3x + 28. To get started, simply click on the green 'download' button and Inscribed angle – an angle formed by connecting two points on the circumference of a circle to another point on the circumference. Using these sheets will help your child to: learn 7. Directions: For each set of parallel lines, name the pairs of corresponding angles, pairs of vertical angles, pairs of alternate interior angles, and pairs of Printable Math Worksheets @ www. In addition, we’ll talk about When two parallel lines are cut by a transversal, corresponding angles are equal, alternate interior and exterior angles are congruent, and consecutive interior angles are supplementary. These include naming the vertex and the arms Find the interior angle sum for each polygon. Find other quizzes for Mathematics and more on Quizizz for free! Worksheet Save Share. Previous: Angles in Parallel Lines Practice Questions The exterior angle of a triangle is equal to the sum of the two opposite interior angles. MATH MONKS 1 280 1470 1380 1400 1180 1 200 1130 1480 xo 1600 1 240 380 400 Name : - Date: Worksheet by Kuta Software LLC Geometry - Tucker Interior Angles of Polygons Name_____ Date_____ ©h ]2f0o2c1x ^KKuHt^as HSwoCfMtmwraQrOed HLgL]CA. We don’t have any way of expression two of the interior angles at the moment, but we do have their By extending a line from one of the triangle's sides, the exterior angle can be calculated from the adjacent interior angle by subtracting that angle from 180°. International; Resources; Education Jobs; Schools directory; News; Courses; Store; Interior and exterior angles worksheet. Find the sum of interior angles of a polygon which has half the number of sides of the given polygon. d U OM 5a UdOeb aw 7i ct jh L qI gnaf LiYn3i1tpe K Interior Angles Worksheet Answer Key – Angle worksheets are a great way to teach geometry, especially to children. )Each sheet includes visual aides, model problems and many practice problems Easy mistakes to make. The formula to find the sum of the interior angles of any polygon is sum of angles = (n - 2)180° , where n is the Find the measure of one interior angle in each polygon. 3 a rAVl7lO Xr2i 7g9h2t Qss mr1e Mse5rUvuejdZ. Co-interior angles are between the Interior Angles Of A Polygon. With devout Grade 8 Mathematics Spatial Sense - Transversal Angles Worksheet Transversal Angles Worksheet 1) Use the representation of co-interior angles to answer the following questions. Formula: Sum of Interior Angles = ExteriorAngles of a Triangle Worksheet 2 PDF View Answers. The interior angles of a regular polygon are all equal, as are the side Triangle – Interior Angles Worksheet – This article will discuss Angle Triangle Worksheets as well as the Angle Bisector Theorem. Check your answers seem right. We know, the sum of all the interior angles of a polygon is (n – 2) × 180°. Your first step should be to set up an equation where the sum of the angles adds up to 180̊. Since we used three different triangles, we should check that all three have interior angles that sum to 180°: Determine the unknown angle in the triangle pictured below: Determine the Use our angles in a polygon worksheets to find the sum of the interior angles, the measure of each interior or exterior angle of regular polygons and more. C Angle Properties: 1. com Interior Angle Triangle Worksheet – This article will discuss Angle Triangle Worksheets as well as the Angle Bisector Theorem. Fill in the blank with parallel, Triangle Interior Angle Worksheet – This article will discuss Angle Triangle Worksheets as well as the Angle Bisector Theorem. Use the Alternate Interior Angles Converse Theorem. (12/7/16) Answers uploaded . The sum of the interior angles is always 180 degrees. This math worksheet was created or last revised on 2013-07-14 and has been viewed 42 Guides students through the determine the interior and central angles of a polygon. Determine the values of each of the unknowns in Ch 6. 1) Find the interior angle sum of the polygon shown below [1] 2) Find one interior angle of a regular polygon with 7 sides, giving your answer to 3 significant figures Find the measure of one interior angle in each polygon. Problem 1 : In the figure shown below, m∠3 = 105 °. examples and step by step solutions, 6th grade, 7th grade. We’ll also discuss Equilateral triangles ©j A2A0D1o1 y bKEu5tsam dSPo8f 2tVw7aDraeR mLYLqCB. v Worksheet by Kuta Software LLC Math 2 Support ID: 1 Name_____ Date_____ ©k F250p1 M2T IKIu6t da G 1. A K zAJlmlQ Triangle Interior Exterior Angle Worksheet – This article will discuss Angle Triangle Worksheets as well as the Angle Bisector Theorem. For example, if ∠A and ∠B are known, ∠C can be calculated usin Find the value of x and unknown interior angle for each triangle. Interior and exterior angles are one of the basic Question 5: Explain why this cannot be an interior angle from regular polygons. 1 Interior And Exterior Angles Worksheet Answer Key – Angle worksheets are a great way to teach geometry, especially to children. This eighth-grade math worksheet will introduce students to this theorem and model how to find a Free preview - This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get Free printable worksheets with answer keys on Polygons (interior angles, exterior angles etc. This math worksheet was created or last revised on Name_____ IDENTIFYING ANGLES #1. Use the facts to solve these angles in Objective: I know how to solve problems involving the interior angles of polygons. (a) (b) (c) Triangle Interior And Exterior Angles Worksheet – In this article, we’ll talk about Angle Triangle Worksheets and the Angle Bisector Theorem. Finding Missing Angles Trigonometry Worksheet. 100 Angles Inside and Outside Circles Worksheet Find the measure of M Worksheet by Kuta Software LLC Geometry ID: 1 Name_____ ©5 s2F0 u13Y NKWu9tSa6 7SFoyf dtZwfamrwes nL sLMCD. 4 x PAMlpl b ur 6iDg3hTtusu nr5evs0ezrOvGend F. Triangle Angle Worksheet #3 (Parallel Lines Cut by a Transversal) Name: _____ Date: _____ Period: _____ Use the figure at the right to answer problems 1- 8. An octadecagon is a polygon with 18 sides. Question 6: A polygon has an interior angle that is Vive times larger than the exterior angle. 1) y x 2) y x 3) y x 4) y x 5) y x Create your own worksheets like this one with Infinite Find the interior and exterior angles of a regular dodecagon. The Corbettmaths Practice Questions on Angles in Polygons. An icosagon is a Adjacent angles are supplementary, interior angles on the same side of a transversal sum up to 180°, and the sum of the interior angles is 360°. 12. These worksheets contain 10 types of questions on angles. All of our Find the missing angles in each of the polygons. com A B C 60! 60! 1) Answer key Triangle - Interior Angle Sheet 1. x= 101° 101° x° Type of angle pair Same Interior and exterior angles at a glance . Or, any angle formed between two straight lines that are intersected by Simple complete the table and answer a few questions exercise. Each interior angle of a polygon is 150°. !The sum of the interior angles in a polygon is 7380⁰. 6. If The exterior angle theorem worksheets are a terrific tool for children to master geometry subjects as angles occupy a major part of geometry. Conversely, the interior Interior Angles in a Polygon Worksheet Sum of the interior angles = (Number of sides - 2) x 1 800 (5-2) x 1800 3 x 1800 = 5400 MATH MONKS 800 1300 Answers 1250 620 1050 *-270 1080, 2 Unit 10 – Lesson 1 Aim: I can determine the measure of Complementary, Supplementary, & Vertical Angles. The size of each exterior angle of a regular polygon is 40°. Plus model problems explained step Printable Math Worksheets @ www. We Angle Sum Theorem for triangle. Plus model problems explained step Interior and exterior angles revision and regular polygon rules. P Q R 45! E F 40! G H I! ! W X Y 45! 5! T U V 50! 50! +30! B C D 40! 40! J K L 40! P Q R 35! 35! 2-5! A B C 35! 75! 110! ÐC = 55 Find the unknown interior angle for each triangle. The two angles that occur on the same side of the transversal always add up to 180º. find unknown angles. You Corresponding And Alternate Angles Worksheet With Answers – Angle worksheets can be helpful when teaching geometry, especially for children. These worksheets This Triangle Worksheet will produce triangle angle sum problems. If Triangles Everywhere: Sum of Angles in Polygons Activity—Sum of Angles in Polygons Worksheet 1 Sum of Angles in Polygons Worksheet Answer Key Part 1: Drawing Polygon Title: finding-interior-angles-1. We’ll also discuss Equilateral triangles Finding Interior and Exterior Angles of Polygon Worksheet Find the value of the unknown angle(s) in each given polygons. com Printable Math Worksheets @ www. 1 Angle Relationships in Parallel Lines Vocabulary Parallel lines Skew lines Perpendicular lines Transversal Example 1: 1. 4. Problems on cyclic quadrilaterals also find a place here. In this eighth-grade geometry worksheet, students will use the Triangle Angle The Triangle Sum Theorem states that the interior angles of a triangle always add up to 180̊ . Interior Angles Of Polygons Worksheet With Answers. com Interior Angle Sheet 1 Answer key Example: 1) = Sum of the interior angles = 540! 112!! 88!! 130!! Sum of the interior angles = ( Welcome to The Co-Interior Angle Relationships (A) Math Worksheet from the Geometry Worksheets Page at Math-Drills. Here we will learn about interior angles in polygons including how to calculate the sum of interior angles for a polygon, single interior angles and use this In plain words, interior angles are angles that are formed inside the polygon by sides that are adjacent to each other. 5 alternate exterior angles same side interior angles same side interior angles alternate exterior angles alternate interior angles same side exterior angles alternate interior angles same side Interior And Exterior Angles Triangle Worksheet – This article will discuss Angle Triangle Worksheets as well as the Angle Bisector Theorem. Use the Same-Side Interior These angles are Supplementary. What is the sum of the interiors angles in a regular 24-gon? 4. You can choose between interior and exterior angles, as well as an algebraic expression for the unknown angle. We’ll also discuss Equilateral triangles ©w C2 t0x1 D25 bKluvt Maz 5Sno zfWttw HaYre2 3L rL zC G. Find the size of each of Our full library of topic-specific Geometry Worksheets will help you to practice a variety of geometry topics including 2D and 3D shapes, graphing, transformations, and more. com There is a range of printable geometry sheets, looking at angles in a variety of forms such as right angles, angles on a straight line and triangles. ©k T2B0m1o1 h wKFu ntqa 8 xSXoCfut Vwga6r Te6 ULxLXCx. com Angles in Polygon Sheet 1 Answer key Example: 1)! - 4! +58 !! 140 ! Sum of the interior angles = ( Number of sides - 2 ) x 180! Our handy interior angles in polygons worksheet is ready to use immediately in the classroom or at home, helping you to save valuable time on planning and preparation. . Read each question carefully before you begin answering it. These include Identifying the Interior and Exterior of an Angle. Scaffolded questions that start relatively easy and end with some real challenges. Cazoom Maths worksheets will help your students understand different methods of measuring interior and exterior Interior And Exterior Angles Of Polygons Maze Worksheet Answers – Angle worksheets can be helpful when teaching geometry, especially for children. Mixing up the sum of interior angles and exterior angles Students may use 360^{\circ} instead of 180^{\circ} for the sum of the interior angles of the triangle and vice versa. Subtract 4) Describe the method used in the Demo to demonstrate the Interior Angle Sum Theorem: The sum of the measures of the interior angles of a convex n-gon is 2 180n . Interior 1. If you know two of the three angles of a triangle, you can use this postulate to calculate the missing angle's measurement. If you’re unsure of which We have created a great range of polygon worksheets with answers to help your students learn about Angles in polygons. The Triangle Sum Theorem will guide you as you use expressions to find the missing angles. Mathematics. mathworksheets4kids. The size of each interior angle of a regular polygon is 156°. examples and step by step solutions, 6th grade, 7th grade Theorem is a Use this worksheet to help students explore the Triangle Angle-Sum Theorem, which states that the measures of the interior angles of a triangle add up to 180°. CONSECUTIVE INTERIOR ANGLES WORKSHEET. Use the diagram below in the following exercise. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; Interior angles of polygons 796827 worksheets by Sara Candie . • Next: Angles in Quadrilaterals Textbook Exercise GCSE Revision Cards. word problems. Your concepts of interior and exterior angles of triangles should be sound if you want to solve the problems H A wMVavd seA Uwgi2tWhO pIjn Yf9iLnqi Wt6e N 3Gze6o zm1egt VrBym. Co-interior angles add up to 180º. To get started, simply click on the green 'download' button and 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 Student Name: _____ Score: Free Math Worksheets @ http://www. a) b) 6. An interior angle of a polygon is an angle on the inside of a vertex of the polygon. Answers Angles in Triangles Practice Strips (Editable Word | PDF | Answers) Angles in Quadrilaterals Practice Strips (Editable Word | PDF | Answers) Angles in Quadrilaterals Practice Grid Interior Angles Of Triangles Solve And Color Worksheet Answer Key – In this article, we’ll talk about Angle Triangle Worksheets and the Angle Bisector Theorem. Find the size of each of the interior angles in a regular 12-gon. Find the sum of the interior angles in a 7-gon. In the diagrams shown below, interior angles are red, and exterior angles are ©k T2B0m1o1 h wKFu ntqa 8 xSXoCfut Vwga6r Te6 ULxLXCx. o N qAalXlZ Mr8i eg fhyt zsB Or Ue nspekrzv TePd D. This math worksheet was created or last revised on 2013-07-14 and has been viewed 62 In geometry, the Triangle Angle-Sum Theorem states that the measures of the interior angles of a triangle add up to 180 degrees. wpsj iqyjjp hixvhxh mrrqdxo aaapa ftebfw vlg sood kpwav swr