Two angles are supplementary. one is 56° more than three times three times the other. find the measures of the angles.

Supplementary means they equal 180 when added. Therefore:

X+56+3x=180
Combine common units
4x+56=180
Subtract 56 from both sides
4x=124
Divide by 4
X=31

Now we know the smaller angle is 31 degrees. Now we plug that into the larger angle:
3(31)+56
93+56
149

The larger angle is 149 degrees.

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