∠A and ∠B are supplementary angles. If ∠A=(4x−16) and m∠B=(8x+4), then find the measure of ∠A.

Answer 1

A = 4x-16

B = 8x +4

4x-16 + 8x + 4 = 180

12x = 180 +16 -4 = 192

x = 192/12 = 16

A =4(16)-16 = 3(16) = 48 degrees

B= 132 degrees

supplementary angles sum to 180 degrees