Question

Two supplementary angles are in the ratio of 1 to 3. The measure of the larger angle is


60
67.5
120
135

Answer 1

By definition, supplementary angles are angles with measures that sum to 180.

Because the angles are in a one to three ratio, let one angle be x and the other be 3x. x/3x = 1/3 which is one to three so the ratio has be preserved.

Answer 2

Solve this equation for x:

x + 3x = 180.

Remember that you are to choose the larger of the two supplementary angles as your answer.

@EmilyRose373