SOLUTION: one angle of two supplementary angles is four times the other angle. find the measure of the two angles

Algebra ->  Algebra  -> Angles -> SOLUTION: one angle of two supplementary angles is four times the other angle. find the measure of the two angles      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 191166: one angle of two supplementary angles is four times the other angle. find the measure of the two angles
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Let the smaller one be x, the the larger one is 4x.
As the sum of the two supplementary angles is 180 degrees, we have
x + 4x = 180
Solving for x, we have
5x = 180
x = 36
So the two angles are:
36 and 4x=4x36 = 144