The degree measure of the larger of two supplementory angles is 3 times the measure of the smaller angle. What is the measure, in degrees, of the larger angle.

Question

Act question, can't find the solution to this.

Answer 1

Let the smaller angle = x

Larger angle is 3 times the smaller or 3x

Both angles are supplementary (add to 180)

So:

3x + x = 180

Simplifies to:

4x = 180

x = 45

Larger angle = 3x = 3(45) = 135