Question

An angle measures 64° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

77, 13

Explanation:

Complementary angles add to 90 degrees

Let x be one of the angles

x-64 be the other angle

x + x-64 = 90

2x -64 = 90

Add 64 to each side

2x-64+64 = 90+64

2x=154

Divide by 2

2x/2 = 154/2

x =77

x -64 = 77-64 = 13

The two angles are 77 and