What is the measure of an angle, in degrees, if its supplement is six times its complement?
The suplement is "180 - that angle" degrees. Its complement is "90 - that angle" degrees. If "that angle" is "x" degrees, then our equation is: \(180 - x = 6(90 - x)\) Simplifying, we can get:
\(180 - x = 540 - 6x\)
\(5x = 360\)
\(x = 72\)
The measure of an angle who's supplement is 6x its complement is 72 degrees.