An angle's complement is 35°. Find the measure of its supplement.
We know that the sum of an angle and its complement is 90 degrees because two angles are complementary if their sum is 90 degrees. Therefore, we can write an equation with x as the angle's measure:
x + 35 = 90
Solving for x, we get:
x = 90 - 35
x = 55
So the angle measures 55 degrees.
To find the supplement of this angle, we know that two angles are supplementary if their sum is 180 degrees. Therefore, we can find the supplement by subtracting the angle measure from 180 degrees:
180 - 55 = 125
So the measure of the angle's supplement is 125 degrees.