SOLUTION: find the measure of an angle if its suppliment measures 12degrees less than three times its compliment

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: find the measure of an angle if its suppliment measures 12degrees less than three times its compliment       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 162681: find the measure of an angle if its suppliment measures 12degrees less than three times its compliment
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
.
supplement is when two angles summed together is 180 deg.
complement is when two angles summed together is 90 deg.
.
Let x = "the angle"
then
90-x = the complement
180-x = the supplement
.
180-x = 3(90-x)-12
180-x = 270-3x-12
180-x = 258-3x
180+2x = 258
2x = 78
x = 39 degrees (measure of the angle)