Final answer:
The supplement of an angle that is three times as large as the angle is determined by the equation 3x = 180 - x where x is the angle. Solving for x gives us 45 degrees for the angle, and thus its supplement is 135 degrees.
Step-by-step explanation:
The student is asking about the supplement of an angle that is three times as large as the angle itself. To find the correct relationship between the angle and its supplement, we use the fact that the supplement of an angle plus the angle itself should add up to 180 degrees. Let's assume the angle is x degrees. Therefore, its supplement would be 180 - x degrees. Since the supplement is three times as large as the angle, we can write the equation: 3x = 180 - x. Solving for x, we have 4x = 180, which gives us x = 45 degrees. The supplement would then be 180 - 45 = 135 degrees, which is three times 45. Thus, the correct option is A. 180 - x, x, 3x.