Two angles are supplementary.One of the angles is three times the size of the other, what is the measure of the larger angle? sh

Question

Please show all your work.

Answer 1

Greetings! Lets solve this shall we ?

So, we must find two supplementary angles such that one of the angles is 3 times the size of the other. What the size of the larger angle?

Let angle A = x and angle B = 3x.........Rule: The sum of supplementary angles equal 180 degrees. Then,

x + 3x = 180........Add like terms

4x = 180......Then divide 4

x = 45 degrees (Smaller Angle A)............Then we plug in the smaller angle into the bigger angle to get

Angle B = 3(45) = 135 degrees.

I hope this helped!