Exterior and Interior Angles of Polygons Review
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1 Class: Date: Exterior and Interior Angles of Polygons Review Multiple Choice Identify the choice that best completes the statement or answers the question. Find the value of x a. 27 c. 118 b. 63 d a c. 58 b d. 32 a. 110 c. 31 b. 59 d. 27 1
2 4. a. 115 c. 114 b. 73 d. 107 Name the word that matches the definition given. 5. A line that intersects two or more lines a. transversal d. interior angles of a polygon b. interior angles e. exterior angles of a polygon c. exterior angles f. convex polygon 6. When two parallel lines are cut by a transversal, four are formed on the inside of the parallel lines a. transversal d. interior angles of a polygon b. interior angles e. exterior angles of a polygon c. exterior angles f. convex polygon 7. The angles inside a polygon. a. transversal d. interior angles of a polygon b. concave polygon e. exterior angles of a polygon c. regular polygon f. convex polygon 8. A polygon in which every line segment connecting any two vertices lies entirely inside the polygon. a. transversal d. interior angles of a polygon b. interior angles e. concave polygon c. exterior angles f. convex polygon 9. A polygon in which at least one line segment connecting any two vertices lies outside the polygon. a. concave polygon d. interior angles of a polygon b. regular polygon e. exterior angles of a polygon c. indirect measure f. convex polygon 10. A polygon in which all the sides are congruent, and all the interior angles are congruent. a. concave polygon d. interior angles of a polygon b. regular polygon e. exterior angles of a polygon c. indirect measurement f. convex polygon 11. Angles that have the same measure 2
3 12. Two angles that share a common side and have the same vertex 13. The angles opposite each other when two lines intersect 14. Two angles whose measures have a sum of Two angles whose measures have a sum of Find the measure of the exterior angle. a. 70 c. 122 b. 52 d. 58 3
4 17. Find the measure of the exterior angle. 18. a. 126 c. 24 b. 42 d a. 58 c. 63 b. 360 d. 418 Find the sum of the angle measures of the polygon. a c b d The angles of a regular polygon each measure 140. How many sides does the polygon have? a. 10 c. 8 b. 11 d. 9 4
5 21. Identify the pair of angles as corresponding, alternate interior, both, or neither. 6, 2 a. alternate interior c. corresponding b. neither d. both 22. If a and b are parallel lines and m 3 = 128º, what is the measure of 8? a. 134º c. 54º b. 52º d. 49º 23. DFG and JKL are complementary angles. m DFG = x + 2, and m JKL = x 4. Find the measure of each angle. a. DFG = 46, JKL = 44 c. DFG = 48, JKL = 52 b. DFG = 46, JKL = 54 d. DFG = 48, JKL = Which of the following are always congruent? a. adjacent angles c. complementary angles b. vertical angles d. supplementary angles Tell whether the angles are adjacent or vertical. Then find the value of x. 25. a. vertical; 127 c. adjacent; 53 b. adjacent; 127 d. vertical; 53 5
6 Tell whether the angles are adjacent or vertical. Then find the measure of each angle. 26. a. vertical; 69, 69 c. vertical; 32, 32 b. adjacent; 32, 32 d. adjacent; 69, a. vertical; 163, 17 c. vertical; 68, 112 b. adjacent; 68, 112 d. adjacent; 163, 17 Numeric Response Complete the statement. 1. If the measure of 4 = 56, then the measure of 5 =?. 6
7 2. Find the measure of the exterior angle of the polygon. 3. The sum of the angle measures in a regular polygon is What is the measure of one of the angles of the polygon? Short Answer 1. Find the sum of the interior angle measures of the polygon. 2. Describe and correct the error in finding the sum of the angle measures of a 13-gon. S = n 180 = = Tell whether the polygon is convex or concave. Explain. 7
8 4. 5. Error Analysis Describe and correct the error in finding the value of x. The value of x is 67 because vertical angles are supplementary. 6. Two angles are vertical angles. What are their measures if they are also supplementary angles? 8
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