The measure of two complementary angles are in the ratio 1

The measure of two complementary angles are in the ratio 1 : 5. What are the degree measures of the two angles?

A.

15° and 75°

B.

36° and 144°

C.

18° and 72°

D.

30° and 150°

Solution

Sum of two complementary angles =90

Given that they are in the ratio 1:5

Therefore let they are x and 5x

Therefore by property x + 5x = 90

6x =90

x = 15

then 5x = 75

Therefore angles are 15 and 75

Answers : A

The measure of two complementary angles are in the ratio 1 : 5. What are the degree measures of the two angles? A. 15° and 75° B. 36° and 144° C. 18° and 72° D.

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