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# 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?

Updated: 11/4/2022

Wiki User

12y ago

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

Wiki User

12y ago

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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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