The measure of an angles supplement is 4 times an angles compliment. What's the measure of the supplement?

Question

The measure of an angles supplement is 4 times an angles compliment.  What's the measure of the supplement?

radar · Answer

If you know algebra, and you carefully label the information provided for your use by the problem.

Let x = the measure of the angle in question.  Then we know
180 - x = the supplement of said angle and
90 - x = the compliment of the angle 
4(90 - x) = 4 times the compliment.  The problem informs you that the supplement is 4 times the compliment.  Just set up an equation that states that.  See below:

180 - x = 4(90 - x)   This states the relationship solve for x.  Now the problem is asking for the supplement.  After solving for x, the supplement is 180 - x.  Solve for the supplement.