Question

A and B are complementary angles. If mA = (x - 22)° and

m/B=(x-16)°, then find the measure of A.

Answer 1

Complementary angles have a sum of 90°.

(x - 22) + (x - 16) = 90

2x - 38 = 90

2x = 128

x = 64

Substitute x into angle A

A = 64 - 22 = 42°