Question

use an algebraic equation to find the measures of the two angles described below. begin by letting x represent the degree measure of the angles supplement. the measure of the angle is two times greater than its supplement. what is the measure of the supplement?

Explanation:

Step1: Set up the equation

Let \(x\) be the degree - measure of the supplement. Then the measure of the angle is \(2x\). Since supplementary angles add up to \(180^{\circ}\), we have the equation \(x + 2x=180\).

Step2: Combine like - terms

Combining the left - hand side of the equation \(x + 2x\) gives \(3x\). So the equation becomes \(3x = 180\).

Step3: Solve for \(x\)

Divide both sides of the equation \(3x = 180\) by 3. We get \(x=\frac{180}{3}=60\).

Answer:

\(60\)