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