Question

An angle measures 120° less than the measure of its supplementary angle. What is the measure of each angle?

This is IXL

Answer 1

Let's call the measure of the angle x.

By definition, the supplementary angle of x measures 180 - x degrees.

We're told that the angle measures 120 degrees less than its supplementary angle, so we can set up an equation:

x = (180 - x) - 120

Simplifying this equation, we get:

x = 60

Therefore, the angle measures 60 degrees, and its supplementary angle measures 180 - 60 = 120 degrees.