Question

the measure of an angle is thirty - five 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 other angle is \(35x\). Since supplementary angles sum to \(180^{\circ}\), we have \(x + 35x=180\).

Step2: Solve for \(x\)

Combine like terms: \(36x = 180\). Then \(x=\frac{180}{36}=5\).

Step3: Find the other angle

The other angle is \(35x\). Substitute \(x = 5\), so \(35\times5 = 175\).

Answer:

\(5\) and \(175\)