2. Two angles are supplements if their sum is 180 degrees. The measure of one angle is seven-fifths the measure of its supplement. What is the measure of the smaller angle?

Question

Mathematics

King Colon

29 December, 03:03

2. Two angles are supplements if their sum is 180 degrees. The measure of one angle is seven-fifths the measure of its supplement. What is the measure of the smaller angle?

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Answers (1)

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Sawyer Holden · Answer 1

X = 7/5 (180 - x)

x = 1260/5 - 7/5x

7/5x + x = 252

7/5x + 5/5x = 252

12/5x = 252

x = 252 / (12/5)

x = 252 * 5/12

x = 1260/12

x = 105

180 - x =

180 - 105 =

75

so the smaller angle is 75