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Geometry Lesson 1-5 WS Name____________________________ Use the diagram at the right. Is each statement true? Explain. 1. 5 and 4 are supplementary angles. 2. 6 and 5 are adjacent angles. 3. 1 and 2 are a linear pair. Name an angle or angles in the diagram described by each of the following. 4. a pair of vertical angles 5. supplementary to RPS 6. a pair of complementary angles 7. both angles adjacent to TPU For Exercises 8–9, can you make each conclusion from the information in the diagram? Explain. 8. CED FEG 9. BCE BAD Use the diagram at the right for Exercises 10 and 11. 10. Name an angle that forms a linear pair with OSN . 11. Name an angle that is complementary to QSR . 12. In the diagram, bisects WXZ. a. Solve for x and find mWXY. b. Find mYXZ. c. Find mWXZ. bisects PQS. Solve for x and find mPQS. Hint: Draw a picture!!! 13. mPQR = 3x, mRQS = 4x – 9 14. mPQS = 4x − 6, mPQR = x + 11 Write and solve an equation to find the measure of each angle in the angle pair described. 15. The measure of one angle is 5 times the measure of its complement. 16. The measure of an angle is 30 less than twice its supplement. 17. Make a diagram that meets all of the following requirements. • • • • 1 is adjacent to 2. 2 and 3 are a linear pair. 2 and 4 are vertical angles. 4 and 5 are complementary. In the diagram at the right, mHKI = 48. Find each of the following. 18. mHKJ 21. mFKH 19. mIKJ 22. mFKJ 20. mFKG 23. mGKI