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Name Date Class Shapes and Designs Unit Review 1. a. What is the interior angle sum of a regular hexagon? Explain your reasoning. b. How many degrees are in one exterior angle of a regular hexagon? 2. A triangle has sides of 7 and 8 units. The measurement of the longest side is missing. Joe says that one possibility for the unknown side length is 14. Do you agree with Joe? Why or why not? 3. Is a triangle with angle measures 74°, 56°, and 50° possible? Explain why or why not. 1 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Name Date Class Shapes and Designs Unit Review (continued) 4. Estimate and then find the exact measures of the angles below. 5. Use rectangle ABCD with diagonal DB. Find the measure of the angle marked x. Show your work. 52 2 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Name Date Class Shapes and Designs Unit Review (continued) 6. Use the figure below which shows parallel lines and a transversal. The measure of 1 is 130°. Find the measures of angles 2, 4, and 5. Explain how you found each measure. a. measure of 2 = b. measure of 4 = c. measure of 5 = 7. a. Suppose the measure of an angle is 65°. What is the measure of its supplementary angle? b. Draw the angles to show that you are correct. 3 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Name Date Class Shapes and Designs Unit Review (continued) 8. a. Suppose two angles are complementary and one of them measures 47°. What is the measure of the other angle? b. Draw the angles to show that you are correct. 9. Draw a parallelogram with two sides of length 4 cm, two sides of length 6 cm, and angles of 70° and 110°. 10. Draw a triangle ABC with AB = 5 cm, BC = 3.5 cm, and ABC = 35°. 4 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.