Answer:
The measure of the larger is
.
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
.