How would I work this problem?

The measure of The Supplement of an angle is 4 times the measure of its compliment. Find the measure of the angle. How would I work this problem?
Well, the compliment is whatever you add to the angle to make it equal ninety degrees. The supplement is whatever you add to make it equal 180 degrees. So, let the angle be x. compliment=C and supplement=S





X+C=90


X+S=180





S=4C


using substitution, X+4C=180


and X+C+90=180


so X+C+90=X+4C


C+90=4C


90=3C


C=30


then X+30=90


so x=60


The angle equals 60 degrees How would I work this problem?
Let: A = the angle


180 - A = the angle's supplement


90 - A = the angle's complement





Equation:


180 - A = 4(90 - A)





Solution:





180 - A = 4*90 - 4A


4A - A = 360 - 180


3A = 180


A = 180/3


A = 60





Check:


180 - A = 4(90 - A)


180 - 60 = 4(90 - 60)


120 = 4(30)


120 = 120 Yes!





Decision:


Therefore, the angle measures 60 degrees.