The angles are supplementary angles. Find the measure of each angle.
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A) 36° and 144°
B) 18° and 72°
C) 41° and 139°
D) 72° and 288°

Question

The angles are supplementary angles. Find the measure of each angle.
-
A) 36° and 144° 
B) 18° and 72° 
C) 41° and 139° 
D) 72° and 288°

Quizplus · Accepted Answer

Supplementary angles add up to 180°. Therefore, we can set up the equation:

x + y = 180

Since we are asked to find two angles, we can assign one of them to be x and the other to be y.

In this case, we can choose x to be 36°.

x + y = 180

36 + y = 180

y = 144

Therefore, the two angles are 36° and 144°, which are choice A.

The Angles Are Supplementary Angles