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What is the measure of an angle, in degrees, if its supplement is six times its complement?

 Mar 18, 2022
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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.

 

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 Mar 18, 2022

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