Answer: the smaller angle is 44 degrees
The larger angle is 136 degrees
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