Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the​ angle's supplement.

Question

The measure of the angle is two times greater than its supplement.What is the measure of the​ supplement?

Answer 1

Supplementary angles are two angles that have a sum of 180°

θ = your angle

The supplementary angle is x as stated in the problem so:

θ + x = 180°

x = 180°- θ

The measure of the angle is two times greater than its supplement means:

θ = 2 x

Replace this value in equation:

x = 180°- θ

x = 180°- 2 x

Add 2 x to both sides

3 x = 180°

x = 180° / 3 = 60°

Answer 2

OR

θ = your angle

x = suplrment

θ = 2 x

θ + x = 180°

2 x + x = 180°

3 x = 180°

x = 180° / 3 = 60°