Question

Two supplementary angles measure (7x + 11) and (14x + 1)º. What is

the measure of the smaller angle?
(1) 40.5°
(2) 67°
(3) 108°
(4) 123°

Answer 1

67 degrees (Answer 2)

Explanation:

These two angles must sum up to 180 degreess because they are supplementary. Then:

7x + 11 + 14x + 1 = 180, or

21x + 12 = 180, or

21x = 168

Solving for x, we divide both sides by 21. This results in x = 8.

The measure of the smaller angle is 7x + 11, which here is 7(8) + 11 = 67 degrees (Answer 2).