Question

Your friend says that there is an angle whose measure is the same as the measure of the sum of its supplement and its complement.

Is your friend correct? What is the measure of the angle?

Answer 1

Let's check:

Let the angle be x

It's complement is 90-x

It's supplement is 180-x

x = 90 - x + 180 - x

x = 270 - 2x

3x = 270

x = 90

So the angle is 90, it's complementary is 0 and it's supplementary is 90... so 90 = 0 + 90