Question

An angle measures 26° less than the measure of its complementary angle. What is the measure of each angle?

Explain

Answer 1

58- 26=32 that is the answer

Answer 2

58, 32

Explanation:

Complementary angles add to 90 degrees

Let x be one of the angles

x -26 is the other angle

x +x-26 = 90

Combine like terms

2x-26 = 90

Add 26 to each side

2x-26+26 = 90+26

2x = 116

Divide by 2

2x/2 = 116/2

x =58

The other angle is 58-26 =32