Question

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

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.