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

The smaller angle measures 44° and the larger measures 136°

Step-by-step explanation:

Let'e recall that supplementary angles are two angles whose sum is 180° degrees.

Smaller angle = x

Larger angle = 3x + 4

Therefore, we have:

x + 3x + 4 = 180

4x = 180 - 4

4x = 176

x = 176/4

x = 44 ⇒ 3x + 4 = 136

The smaller angle measures 44° and the larger measures 136°