Question

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

Answer 1

Answer:

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°