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GSE Geometry Support 2.1 - Congruence & Triangles 2.1 – Practice Name: ________________________________________________ Date: _______________________ Supplementary and Complementary Angles Homework Name the figures described. Use the figure for 1-6. 1. Two acute angles. _________________ 2. Two obtuse angles. ___________________ A 3. Two pairs of vertical angles. _________________________ 4. Four pairs of adjacent angles. _______________________________ 5. Four pairs of supplementary angles. ___________________________ 6. Two supplements of C 1 X 2 4 3 D B AXC . ____________________________ 7. Suppose 1 and 2 are known to be complementary. If m 1 20 , then m 2 __________. 8. Suppose 3 and 4 are known to be supplementary. If m 3 40 , then m 4 __________. For problems 9-10, if 1 and 9. m 1 2x, m 2 3x For problems 11-12, if 2 are complementary angles, state the numerical value of x . 10. m 1 x, m 2 x 20 3 and 11. m 3 2y, m 4 3y 15 4 are supplementary angles, state the numerical value of y . 12. m 3 y 10, m 4 3y 10 Solve. _____ 13. The measure of an angle is 30 more than its complement. Find the measure _____ of the angle and its complement. _____ 14. The measure of an angle is the same as the measure of its complement. Find the measure of the angle. GSE Geometry Support 2.1 - Congruence & Triangles 2.1 – Practice _____ 15. The measure of an angle is 20 less than the measure of its supplement. _____ Find the measure of the angle, the measure of its supplement, and the measure of its complement. _____ 16. The measure of an angle is twice that of its supplement. Find the measure of _____ the angle and its supplement. D and E form a linear pair and m E 3m D . Find the measure of _____ 17. _____ each angle and the measure of the complement of D . 18. Find all the missing angles.

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