Question

the measure of an angle is thirty - nine 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 \(39x\). Since supplementary angles sum to \(180^{\circ}\), we have the equation \(x + 39x=180\).

Step2: Solve the equation

Combine like - terms: \(40x = 180\). Then \(x=\frac{180}{40}=4.5\).

Step3: Find the measure of the other angle

The other angle is \(39x\). Substitute \(x = 4.5\) into \(39x\), we get \(39\times4.5 = 175.5\).

Answer:

\(4.5\) and \(175.5\)