Find the measure of each angle.

Question

Two angles are supplementary. One angle is 15 degrees less than twice the other angle.

Answer 1

Hi Monse,

 

If the angles are supplementary, then their sum must be 80 degrees.

Let one of the angles be x. Then, the other angle is 2x - 15 degrees.

now, we can write

x + (2x -15) = 180

3x - 15 = 180

3x = 195

x = 65 degrees

Can you find the measure of the other angle?