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

Question

Mathematics

Damion Lopez

18 April, 19:56

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

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Answers (1)

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Marquise Pierce · Answer 1

Step-by-step 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