SOLUTION: Which angle is 1/5th of its supplementary?

Algebra ->  Angles -> SOLUTION: Which angle is 1/5th of its supplementary?      Log On


   

Question 319746: Which angle is 1/5th of its supplementary?
Answer by J2R2R(94) About Me  (Show Source):
You can put this solution on YOUR website!
An angle and its supplementary will always add up to 180 degrees.

So if we call this angle x and its supplementary will therefore be 5x (as given), then adding both we get 6x which is 180 degrees.

6X = 180 degrees

Therefore x = 30 degrees.

We can see the supplement of 30 degrees is 150 degrees and 30 is 1/5th of 150.