Question

An angle measures 36° less than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Answer:

Measure of each angle is 108 and 72 degrees.

Step-by-step explanation:

Let's the angle  be "n"

Supplementary angle = 180 °

n- (180-x) = 36

n - 180 + n = 36

Combine like terms

n - 180 + n = 36

2n - 180 = 36

Add 180 to both sides of the equation

2n - 180+180 = 36+180

Simplify

2n = 216

Divide both sides of the equation by the same term

2n/2 = 216/2

Simplify

n = 108

2n = 216  

Measure of each angle

1st = 108

2nd = 180-108 = 72

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