SOLUTION: the complement of an angle is one-third the size of the supplement of the same angle. Find the measure of the angle?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the complement of an angle is one-third the size of the supplement of the same angle. Find the measure of the angle?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 212354: the complement of an angle is one-third the size of the supplement of the same angle. Find the measure of the angle?
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=angle
90-x=complement of the angle
180-x=supplement of the angle
---
So, we have the equation:
90-x=1/3(180-x)
multiply both sides by 3, to remove the fraction
3(90-x)=180-x
270-3x=180-x
2x=90
x=45 degrees