# The measure of the supplement of an angle is 20° more than three times the measure of the original angle. What are the measures of the angles?

##### 1 Answer

Feb 27, 2017

The original angle is

Its supplement is

#### Explanation:

Recall that the sum of supplemental angles is

Based on the question, an expression can be set up with a variable.

If

Solving for x, we get:

The original angle is

To find the supplement, plug in 40 to the expression that we defined above. The supplement is equal to:

Its supplement is

To check, verify that the two angle measurements meet the definition, meaning they sum to