Let x represent the smallest angle. Then the largest is 3x, and the remaining angle is 180-4x. The problem statement tells us .. 3x > 180 -4x > x Adding 4x gives us .. 7x > 180 > 5x or .. 36 > x > 180/7 = 25 5/7
The angles, smallest to largest, are .. x, 4(45 -x), 3x where 25 5/7 < x < 36
The angles could be, for example, any of ... .. 26°, 76°, 78° .. 30°, 60°, 90° .. 32°, 52°, 96° .. 35°, 40°, 105° and an infinite number of other possibilities.
