Question

An angle measures 74 more than the measure of its complementary angle. what is the measure of each angle?

Answer 1

8, 82

Explanation:

Let x = angle measure

y = complement

y = x+74

Complements add to 90

x+y = 90

Substitute y = x+74 into the equation

x+ x+74 = 90

Combine like terms

2x+74 = 90

Subtract 74 from each side

2x+74-74 = 90-74

2x = 16

Divide by 2

2x/2 = 16/2

x=8

The first angle is 8

8+74 = 82

The other angle is 82