Score: U of 1 pt

3.3.33

Two angles are complementary. Their difference is 42°. Find the angles.

The smaller angle is

The larger angle is

x+y = 90

x-y=42

2x=132

x=66

y=24

24° and 66°

Step-by-step explanation:

Complementary angles sum to 90°

let the larger angle be x then the smaller angle is x - 42 and their sum is

x + x - 42 = 90, that is

2x - 42 = 90 (add 42 to both sides)

2x = 132 (divide both sides by 2)

x = 66 and x - 42 = 66 - 42 = 24

The smaller angle is 24° and the larger angle is 66°