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LenKa [72]
2 years ago
12

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°
Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
3 0

Answer:

B

Step-by-step 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

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