SOLUTION: If two angles are supplementary and one angle measures 20 degrees less than twice the other, what are the measures of both angles?

Algebra ->  Angles -> SOLUTION: If two angles are supplementary and one angle measures 20 degrees less than twice the other, what are the measures of both angles?      Log On


   



Question 863376: If two angles are supplementary and one angle measures 20 degrees less than twice the other, what are the measures of both angles?
Found 2 solutions by checkley79, ewatrrr:
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the smaller angle.
let x+20 be the larger angle.
x+(x+20) =180
2x=180-20
2z=160
x=160/2
x=80 ans. for the smaller angle.
80+20=100 ans. for the larger angle.
Proof:
80+100=180
180=180

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
x + (2x-20) = 180
x = 200/3 = 66 2/3° and its supplement is 113 1/3 °