Two angles are supplementary. One is 52 more than three times three times

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Two angles are supplementary. One is 52° more than three times three times

the other. Find the measures of the angles. Supplementary angles are angles whose sum is

180°.

What is the measure of the smaller angle? ______degrees

What is the measure of the larger angle? _____ degrees

ladiikeiii Nov 30, 2017

CPhill · Answer 1 · 2017-11-30T08:11:37

Let the smaller = x

And the larger is = 3x + 52

So

x + 3x + 52 = 180 subtract 52 from each side and simplify

4x = 128 divide both sides by 4

x = 32° ....this is the smaller angle

3(32) + 52 = 148° ...is the larger angle