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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
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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

 

 

cool cool cool

CPhill  Nov 30, 2017

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