Question

The supplement of an angle is three times the measure of the angle. What is the measure of the angle?

Answer 1

The angle measures 45° and its supplement is 135°.

Explanation:

We have two supplementary angles: Angle A and angle B

Let angle A be x° and;

Angle B be 3x°

We know that supplementary angles add up to 180°

So x° + 3x° = 180°

4x° = 180°

x° = 45° and 3x° = 135°

So angle A measures 45° and its supplement, angle B, is 135°