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© Glencoe/McGraw-Hill NAME 3–6 DATE PERIOD Skills Practice 3–6 NAME DATE Congruent Angles Congruent Angles Find the value of x in each figure. Find the value of x in each figure. 1. 2. 1. 3. x° 152° PERIOD Practice 2. 3. 58° 122° (x 1 8)° x° 152 58 4. 5. 4. 6. 52 (4x 2 10)° 25 43 25 Y 45 X 25 7. What is the measure of an angle that is supplementary to /HIJ if /HIJ > /KLM? 126 (Lesson 3-6) A15 8. OA! and OB! are opposite rays and OC! and OD! are also opposite rays. If m/2 5 90 and m/1 and 5 45, what is m/4? 7. What is the measure of an angle complementary to /XYZ if /MOR > /XYZ? 42 47 6. A M 2 3 1 Z O 4 C D 48° O B R 8. If /2 is complementary to /3, /1 is complementary to /2, and m/1 5 35, what are m/2 and m/3? 55, 35 Use the figure at the right. Geometry: Concepts and Applications 9. If /1 > /3 and m/1 5 64, find the measure of an angle that is supplementary to /3. 116 B A 1 10. If /AOB is supplementary to /BOC, /BOC is supplementary to /COD, and m/AOB 5 58, find m/BOC and m/COD. 122; 58 4 2 O3 C 9. What is the value of x if /PQR and /SQT are vertical angles and m/PQR 5 47 and m/SQT 5 3x 1 2? 15 D 11. Find the measure of an angle that is complementary to /1 if /1 > /2 and m/2 5 75. 15 12. Find the measure of an angle that is supplementary to /4 if /4 > /9 and m/9 5 24. 10. Find the measure of an angle that is supplementary to /B if the measure of /B is 58. 122 156 © Glencoe/McGraw-Hill 111 Geometry: Concepts and Applications © Glencoe/McGraw-Hill Answers 90° 26 110 5. 45° (6x 2 15)° 78° (3x)° 55 114 112 Geometry: Concepts and Applications