Question

19. Two angles are complementary. The larger

angle is 36 more than the smaller angle. What
is the measure of the larger angle?

Answer 1

larger angle = 63°

Explanation:

complementary angles sum to 90°

let x be the smaller angle then larger angle is x + 36 , then

x + x + 36 = 90

2x + 36 = 90 ( subtract 36 from both sides )

2x = 54 ( divide both sides by 2 )

x = 27

Then

larger angle = x + 36 = 27 + 36 = 63°