Question

the measure of an angle is two times the measure of its supplementary angle. what is the measure of each angle? ° and °

Explanation:

Step1: Set up the equation

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

Step2: Solve the equation

Combine like terms: \(3x = 180^{\circ}\). Divide both sides by \(3\): \(x=\frac{180^{\circ}}{3}=60^{\circ}\).

Step3: Find the other angle

The other angle is \(2x\), so \(2\times60^{\circ} = 120^{\circ}\).

Answer:

\(60\) and \(120\)