SOLUTION: what is the measure of an angle if it is 85 less than four times its own complement

Algebra ->  Angles -> SOLUTION: what is the measure of an angle if it is 85 less than four times its own complement      Log On


   



Question 976085: what is the measure of an angle if it is 85 less than four times its own complement
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
I am angle X.
My complement is 90-X.
85 less than four times my own complement means
X = (4(90-X))-85
X = 360-4X-85
5X = 275
X = 55
Check answer -
55 = (4(90-55))-85 = 140-85=55 check