Two angles are complementary. The measure of the smaller angle is five less than the measure of the larger angle. What is the measure of the smaller angle?

Question

Mathematics

Meadow Hoover

16 August, 23:36

Two angles are complementary. The measure of the smaller angle is five less than the measure of the larger angle. What is the measure of the smaller angle?

+2

Answers (1)

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Clarence Randall · Answer 1

Complementary angles, when added, = 90 degrees

S + L = 90

S = L - 5

L - 5 + L = 90

2L - 5 = 90

2L = 90 + 5

2L = 95

L = 95/2

L = 47.5 ... larger angle

S = L - 5

S = 47.5 - 5

S = 42.5 < = = smaller angle