Let x be the smaller angle measure, in degrees. Then the measure of the larger angle is 3x+15 degrees. And you have this equation x + (3x+15) = 135 degrees. Simplify and solve for x: 4x = 135 - 15 ---> 4x = 120 ---> x == 30. Answer. The smaller angle is 30 degrees. The larger angle is 3*30 + 15 = 105 degrees.