Question

The measure of an angle is 15 more than twice its supplement. Find the measure of the angle.

Please include an explanation if you could! :)

Answer 1

9514 1404 393

Answer:

  125°

Step-by-step explanation:

Let x represent the angle in degrees. Its supplement is (180-x) degrees. The given relation is ...

  x = 15 +2(180-x)

  x = 375 -2x . . . . simplify

  3x = 375 . . . . . . add 2x

  x = 125 . . . . . . . divide by 3

The measure of the angle is 125°.