Answer:
The measure of the larger is .
Step-by-step explanation:
Given:
The measure of an angle is degrees less than three times the measure of another angle.
The two angles are supplementary.
To find: The measure of the larger angle.
Solution:
Let the measure of the smaller angle be .
Then the measure of the larger angle be .
The two angles are supplementary, so their sum is .
So,
So, the measure of the smaller angle is .
And, the measure of the larger angle is .
Hence, the measure of the larger is .