Question

the measure of an angle is two times the measure of its complementary angle. what is the measure of each angle? and submit

Explanation:

Step1: Set up the equation

Let the measure of the complementary angle be \(x\). Then the measure of the other angle is \(2x\). Since complementary angles sum to \(90^{\circ}\), we have \(x + 2x=90\).

Step2: Solve the equation

Combine like - terms: \(3x = 90\). Divide both sides by 3: \(x=\frac{90}{3}=30\).

Step3: Find the measure of the other angle

If \(x = 30\), then \(2x=2\times30 = 60\).

Answer:

\(30\) and \(60\)