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The easiest way (for me) to solve this type of question is to put it into an equation in terms of x.

Since one angle is 1/4 the size of the other, the two angles would be x and 1/4x, or 4x and x (I suggest using 4x and x).

Since the angles are supplementary, their sum is 180 degrees.

4x+x=180

5x=180

x=36 degrees

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Q: What is the measure of the smaller of the two supplementary angles if the measure if the measure of one angle is one fourth the measure of the other angle?
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