Final answer:
The measure of the angle is 36 degrees and the measure of its supplement is 144 degrees.
Step-by-step explanation:
To find the measures of the angle and its supplement, we can set up an equation using the given information. Let's assume the measure of the angle is x degrees. According to the question, the supplement of the angle is four times the measure of the angle. So, the measure of the supplement would be 4x degrees. Since the sum of the measures of an angle and its supplement is 180 degrees, we can set up the equation x + 4x = 180.
Combine like terms: 5x = 180.
Divide both sides of the equation by 5: x = 36.
Therefore, the measure of the angle is 36 degrees and the measure of its supplement is 4 times that, which is 144 degrees.