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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asked Sep 15, 2018 163k views

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Dogbert · Answer 1 · 2018-09-17T07:06:47+0000

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

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