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© Glencoe/McGraw-Hill NAME 3–5 DATE PERIOD 3–5 Study Guide Complementary and Supplementary Angles NAME DATE PERIOD Skills Practice Complementary and Supplementary Angles Refer to the figures at the right. The table identifies several different types of angles that occur in pairs. 1. Name a pair of complementary angles. Special Name complementary angles B /BOD, /DOF Pairs of Angles 2. Name two right angles. Definition Examples two angles whose measures have a sum of 90 30 60 /BOJ, /BOF D 57° O 3. Name three pairs of adjacent supplementary angles. /JOB, /BOF; /JOD, /DOF; two angles whose measures have a sum of 180 /JOH, /HOF 160 H Exercises 1-6 5. Find the measure of an angle that is supplementary to /DOF. 147 6. Find the measure of /BOH. 175 7. Name a pair of complementary angles. 75 x 2. 160 x 20 b 15 (6x 1 7) ° (3x 1 38)° 10. Find the measure of an angle that is supplementary to /WMT. 60 Geometry: Concepts and Applications 5. 17 6. 19 ° R S Exercises 7-13 12. Is /YMT a right angle? Justify your answer. 9 W T 11. Find the measure of /XMY. 28 4. M 120° 32° 35° 60° 55° 30° Z 9. Find the measure of an angle that is complementary to /YMZ. 58 3. 115 a Y No, its measure is 32 60, or 92. 13. Find the measure of an angle that is supplementary to /XMR. 25 14. Find m/3 if /3 and /4 form a linear pair and m/4 5 55. 125 15. If /1 and /2 form a linear pair and m/1 5 130, find m/2. 50 16. Angles DEF and XYZ form a linear pair. If m/DEF 5 170, what is m/XYZ? 10 7. If m/P 5 28, /R and /P are supplementary, /T and /P are complementary, and /Z and /T are complementary, find m/R, m/T, and m/Z. 152, 62, 28 © Glencoe/McGraw-Hill 8. If /S and /G are supplementary, m/S 5 6x 1 10, and m/G 5 15x 1 23, find x and the measure of each angle. 17. If /4 and /8 are complementary and m/4 5 45, find m/8. 45 18. If m/3 5 10 and /3 and /7 are complementary, what is m/7? 80 x 5 7, m/S 5 52, m/G 5 128 105 Geometry: Concepts and Applications © Glencoe/McGraw-Hill 106 Geometry: Concepts and Applications (Lesson 3-5) A12 Each pair of angles is either complementary or supplementary. Find the value of x in each figure. 1. X /WMR, /RMS or /SMT, /TMZ 8. Name two right angles. /WMS, /ZMS Answers 20 F 85° 95° J 4. Find the measure of an angle that is complementary to /JOH. 5 supplementary angles 33°