One of two supplementary angles is five times the measure of the other. find the measure of the smaller angles.

Question

Blackburn

Mathematics

1 August, 12:58

One of two supplementary angles is five times the measure of the other. find the measure of the smaller angles.

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Zaire Kaufman · Answer 1

Since we know that supplementary angles are angles that add up to 180 degrees, and one of the angles is 5 times the other, our equation would look like this: 5x + x = 180.

We then combine like terms so that the equation will look like this: 6x=180

We then divide both sides by 6 so that we get to our answer: x=30 which is the measure of the smaller angle.