Question

the measure of an angle is five times the measure of its supplementary angle. what is the measure of each angle?

Explanation:

Step1: Let the measure of the supplementary angle be $x$.

The measure of the angle is $5x$.

Step2: Use the property of supplementary angles.

Since supplementary angles add up to $180^{\circ}$, we have the equation $x + 5x=180$.

Step3: Combine like - terms.

$6x = 180$.

Step4: Solve for $x$.

$x=\frac{180}{6}=30$.

Step5: Find the measure of the other angle.

The other angle is $5x = 5\times30 = 150$.

Answer:

$30$ and $150$