Two angles are supplementary. The measure of the larger angle is 4 more than 3 times the measure of the smaller angle. Find the measure of both angles.

the smaller angle is 44 degrees

The larger angle is 136 degrees

Step-by-step explanation:

Let x represent the smaller angle.

Let y represent the larger angle.

The two angles are supplementary. If two angles are supplementary, it means that their sum is 180 degrees. Therefore,

x + y = 180- - - - - - - - --1

The measure of the larger angle is 4 more than 3 times the measure of the smaller angle. It means that

y = 3x + 4

Substituting y = 3x + 4 into equation 1, it becomes

x + 3x + 4 = 180

4x + 4 = 180

4x = 180 - 4

4x = 176

x = 176/4

x = 44

y = 3x + 4 = 3 × 44 + 4

y = 136