Question

The measure of an angle's supplement is 76 less than the measure of the angle. Find the measure of the angle and its supplement.

Answer 1

The measure of an angle's supplement is 76 less than the measure of the angle. Find the measure of the angle and its supplement.

Solution. Let $x$ be the measure of the angle, then $x - 76$ is the measure of its supplement. Thus we obtain

$$x + x - 76 = 180$$ $$2x = 256$$ $$x = 128$$

Hence, the angle's measure is 128.

Answer. The angle's measure is 128.