Question

The measure of an angles supplement is 76 less than the measure of the angle. Find the measure of the angle and it’s supplement.

Answer 1

Hello!

A supplement is another angle that, with the given angle, add up to 180. This gives us the equation below.

a+a-76=180

Let's combine like terms.

2a-76=180

We add 76 to both sides.

2a=256

We divide both sides by 2

a=128

This means our one angle is 128. We subtract 78 from it to find its supplement.

128-76=42

Therefore, our angle is 128°, and its supplement is 42°.

I hope this helps!