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.