Answer:
the measure of the angle is 43.4 degrees, and the measure of its supplementary angle is 180 - 43.4 = 136.6 degrees.
Explanation:
Let x be the measure of the angle in degrees.
By definition, supplementary angles add up to 180 degrees, so the measure of the supplementary angle is 180 - x degrees.
According to the problem, the angle measures 136.6 degrees less than the supplementary angle, so we can write:
x = (180 - x) - 136.6
Simplifying the right-hand side, we get:
x = 43.4
Therefore, the measure of the angle is 43.4 degrees, and the measure of its supplementary angle is 180 - 43.4 = 136.6 degrees.