Question

the measure of an angle is three 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 $3x$.

Step2: Recall the property of supplementary angles.

Supplementary angles add up to $180^{\circ}$, so $x + 3x=180^{\circ}$.

Step3: Combine like - terms.

$4x = 180^{\circ}$.

Step4: Solve for $x$.

$x=\frac{180^{\circ}}{4}=45^{\circ}$.

Step5: Find the measure of the other angle.

The other angle is $3x$, so $3\times45^{\circ}=135^{\circ}$.

Answer:

$45^{\circ}$ and $135^{\circ}$