Question

An angle measures 52° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

Measure of each angle is 71 and 19 degrees.

Explanation:

Let's the angle be "n"

Complementary angle = 90 °

n- (90-x) = 52

n - 90+ n = 52

Combine like terms

n - 90+ n = 52

2n-90=52

Add 90 to both sides of the equation

2n-90+90=52+90

simplify

2n = 142

Divide both sides of the equation by the same term

2n/2 = 142/2

Simplify

n = 71

2n = 142

Measure of each angle

1st = 71

2nd = 90-71 = 19

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