Question

The measures of two supplementary angles are (3x + 9)° and (2x + 2)°. What is the measure of the smaller angle? A. 16.6° B. 69.6° C. 22.6° D. 110.4°

Answer 1

B

Explanation:

Supplementary angles sum to 180°, hence

3x + 9 + 2x + 2 = 180, that is

5x + 11 = 180 ( subtract 11 from both sides )

5x = 169 ( divide both sides by 5 )

x = 33.8

Hence the smaller angle has a measure of

2x + 2 = (2 × 33.8) + 2 = 67.6 + 2 = 69.6° → B