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An angle measures 70° more than the measure of its supplementary angle. What is the measure of each angle?

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User Mike Kucera
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Answer:

One angle is 55 degrees, and the other is 125 degrees.

Explanation:

Supplementary angles add up to be 180 degrees.

Since one angle measures 70 degrees more than the other, you can say that the other angle is x while the one angle is 70 + x.

x + x + 70 = 180

2x + 70 = 180

2x = 180 - 70

2x = 110

x = 55

So, one angle is 55 degrees, while the other is 55 + 70 = 125 degrees.

To make sure that they add up to be supplementary angles, 125 + 55 = 180.

Hope this helps!