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Name 1-5 Class Date Practice Form K Exploring Angle Pairs Use the diagram at the right. Is each statement true? Explain. 1 6 1. /5 and /4 are supplementary angles. No; they are complementary. 5 2 4 3 2. /6 and /5 are adjacent angles. Yes; they have a common side and vertex. 3. /1 and /2 are a linear pair. Yes; they are adjacent angles whose noncommon sides are opposite rays. Name an angle or angles in the diagram described by each of the following. 4. a pair of vertical angles lRPQ and lTPU S T R Q 40 U P 5. supplementary to /RPS lSPU To start, remember that supplementary angles are two angles whose measures u have a sum of 180 . 6. a pair of complementary angles lQPR and lRPS or lRPS and lUPT To start, remember that complementary angles are two angles whose u measures have a sum of 90 . 7. adjacent to /TPU lSPT, lRPT, lQPU, lRPU, and lQPT A For Exercises 8–11, can you make each conclusion from the information in the diagram? Explain. 8. /CEG > /FED Yes; the arcs indicate they are equal. F D B 9. DE > EF Yes; they are marked as O. E C G 10. /BCE > /BAD 11. /ADB and /FDE are vertical angles. no; not enough information Yes; their sides are opposite rays. Use the diagram at the right for Exercises 12 and 13. 12. Name two pairs of angles that form a linear pair. Answers may vary. Sample: lNSO and lQSO; lNSP and lQSP; lOSP and lRSP; lOSQ and lRSQ 13. Name two pairs of angles that are complementary. lPSQ and lQSR, lPSQ and lNSO P Q O N Prentice Hall Foundations Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 45 S R Name Class Date Practice (continued) 1-5 Form K Exploring Angle Pairs ) 14. Algebra In the diagram, XY bisects /WXZ. Z Y a. Solve for x and find m/WXY. 5; 28 (5x 3) W b. Find m/YXZ. 28 (7x 7) c. Find m/WXZ. 56 X ) Algebra QR bisects lPQS. Solve for x and find mlPQS. 15. m/PQR 5 3x, m/RQS 5 4x 2 9 9; 54 16. m/PQS 5 4x 2 6, m/PQR 5 x 1 11 14; 50 17. m/PQR 5 5x 2 4, m/SQR 5 3x 1 10 7; 62 18. m/PQR 5 8x 1 1, m/SQR 5 6x 1 7 3; 50 Algebra Find the measure of each angle in the angle pair described. 19. The measure of one angle is 5 times the measure of its complement. 75 and 15 20. The measure of an angle is 30 less than twice its supplement. 70 and 110 21. Draw a Diagram Make a diagram that matches the following description. Answers may vary. Sample: 3 2 • /1 is adjacent to /2. • /2 and /3 are a linear pair. • /2 and /4 are vertical angles. • /4 and /5 are complementary. 1 5 4 In the diagram at the right, mlHKI 5 48. Find each of the following. F 22. m/HKJ 90 23. m/IKJ 42 24. m/FKG 42 25. m/FKH 132 26. m/FKJ 138 27. m/GKI 138 K J 48 I Prentice Hall Foundations Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 46 G H