Answer all the following questions

Math 2 14.1 Angle Pairs Name Mowwa Definitions: Complementary angles have a sum of 90. Supplementary angles have a sum of 180. Vertical angles are congruent. An angle bisector divides the angle into two congruent angles. Find the angles in each diagram. State the angle property used to solve. 1. m41 = 1080. Find m42. 2. m43 = 310. Find m/4. 3. m45 =96. Find m46. ML5 = MLb 1 2 960 = 96 108 + mLZ = 180 31 + m / 4 = 90 -108 108 -31 - 310 mez = 72 . ml 4 = 59" 4. mZABC =410. Find mZABD. 5. m47 = 5x + 3; m48 = 11x - 15. BC bisects Find x. = 3 A C 7 8 41 0 (5*+3)+ ( 11X- 15) = 90 D 41 + 41 = 82 5 x+ 14 # 3- 45 = 90 B 16- 12=190 -> 16x = 90 A L2 412 16X = 102 - 14* = 102 6. Find y; m41 = 8y - 3; m42 = 5y + 2. 7. Find p: m23 = 6p + 3; m44 =4p + 19 ( 8 * - 31(5 x+ 2 ) = 180 8 y + 5y- 3+2- 180 ( 6 p + s ) + ( 4 p + 19 ) = 134 - 1 = 180 +1 + 1 1434 = 281 13 4 = 14 8. m/MNQ =7c + 1; mZQNP = 15c - 3. 9. Find m43: m42 = 6x + 2; m43 = 8x + 4 ZMNQ and LQNP are complementary. Find c. 2 3