Question

Suppose that you know that angle t and angle s are supplementary, and that the measure of angle t = 3 times the measure of angle s.

How can you find the measure of angle t ?

Answer 1

Answer: 135 degrees

Explanation:

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because the sum of 130° and 50° is equal to 180°.

Using that, you know that angles t and s are equal to 180 degrees. You also know that angle t is 3 times the measure of angle s.

Therefore, we can create this equation.

3s + s = 180

4s= 180

s = 45

Angle s is 45 degrees.

180 - 45 = 135

Angle t is 135 degrees.