Answer:
5. m∠A = 26
6. m∠D = 118
7. m∠E = 43
8. m∠H = 85
Step-by-step explanation: complementary= 90 supplementary = 180
5. (2x - 8) + (4x +4) = 90
6x - 12 = 90
6x = 102
x = 17
m∠A = 2x - 8
m∠A = 2(17) - 8 = 26
6. (2x + 18) + (5x + 8) = 180
7x + 26 = 180
7x = 154
x = 22
m∠D = 5x + 8
m∠D = 5(22) + 8 = 118
7. (2x + 15) + (3x + 5) = 90
5x + 20 = 90
5x = 70
x = 14
m∠E = 2x + 15
m∠E = 2(14) + 15 = 43
8. (5x - 20) + (4x + 7 ) = 180
9x - 27 = 180
9x = 207
x = 23
m∠H = 4x -7
m∠H = 4(23) - 7 = 85
