Question

An angle is measured 9 more than two times the measure of its supplement. find the measure of both angles.

Answer 1

Explanation:

Givens

Let the angle = x

Let it's supplement = 180 - x

Equation

x + 9 = 2*(180 - x) Remove the brackets

Solution

x + 9 = 360 - 2x Add 2x to both sides

x + 2x + 9 = 360 - 2x + 2x Combine

3x + 9 = 360 Subtract 9 from both sides

3x + 9-9 = 360-9 Combine

3x = 351 Divide both sides by 3

3x/3=351/3

x = 117

Answer

Given angle = 117

Supplement = 180 - 117 = 63