SOLUTION: find the measure of an angle if six times its complement is 120degree less than twice its supplement

Algebra ->  Angles -> SOLUTION: find the measure of an angle if six times its complement is 120degree less than twice its supplement      Log On


   

Question 897307: find the measure of an angle if six times its complement is 120degree less than twice its supplement
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the measure of an angle if six times its complement is 120degree less than twice its supplement
***
let x=angle
Its complement: (90-x)
Its supplement: (180-x)
6(90-x)=2(180-x)-120
540-6x=360-2x-120
4x=300
x=75
measure of angle=75˚