If angle A and B are complementary that means,
Measure of angle A + Measure of angle B = 90°
(x+16)° + (x-12)° = 90°
x+16+x-12 = 90°
2x+4 = 90°
2x+4-4 = 90°-4 (Subtraction Property)
2x = 86°
2x/2 = 86/2 (Division Property)
x = 43°
So,
For the measure of angle A, Plug in the value of x
(x+16)° = 43+16 = 59° ( ANSWER)