Question

The measures of two complementary angles are (3x + 9)° and (5x + 2)°.

What is the measure of the larger angle?

A.21.375°

B.38.625°

C. 9.875°

D.51.375°

Answer 1

D. 51.375

Explanation:

Complementary angles = 90 degrees so....

(3x + 9) + (5x + 2) = 90 (collect like terms)

8x + 11 = 90 (subtract 11 on both sides)

8x = 79 (divide by 8 on both sides)

x = 9.875

PLUG IN

3(9.875) + 9 = 38.625

5(9.875) + 2 = 51.375

So D is the answer!!