two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

63°

Step-by-step explanation:

Complementary angles sum to 90°

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

x + x + 36 = 90

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

2x = 54 (divide both sides by 2)

x = 27

larger angle = x + 36 = 27 + 36 = 63°