Question

An angle measures 12° more than the measure of its complementary angle. What is the measure of each angle?​

Answer 1

The angles are 39 and 51

Explanation:

Let x be the unknown angle

x+12 is the complement

Complements add to 90

x+x+12 = 90

Combine like terms

2x+12 = 90

Subtract 12 from each side

2x+12-12 = 90-12

2x = 78

Divide by 2

2x/2 = 78/2

x =39

x+12 = 39+12

=51