Question

Angle A and angle B are complementary. The measure of angle A is five less than four times the measure of angle B. Find the measure of the smaller angle

Answer 1

Explanation:

Let angle B = x

∠ A = 4x -5

Angle A and angle B are complementary.

∠ A + ∠ B = 90

4x - 5 + x = 90

5x - 5 = 90

5x = 90+5

5x = 95

x = 95/5

x = 19

The measure of smaller angle = 19