Three angles fit exactly around a point. Two of the angles are equal. The difference between the largest and smallest angle is 30 degrees. Find the size of each of the three angles.

Answer 1

Note that the problem says that the problem does not say if the two angles that are equal are the smallest are the largest. Thus, if we let x be the smaller measure, the angles could be either x, x, x+30 or x, x+30, x+30.

Whichever one they are , I leave it to you to add them up and have them equal 360, then solve for x, the smaller angle, and x+30, the larger angle, and then assign the three angles appropriately.