SOLUTION: Problem: Two angles are supplementary. Three times the smaller is five less than twice the larger. Find the number of degrees in each angle.

Algebra ->  Angles -> SOLUTION: Problem: Two angles are supplementary. Three times the smaller is five less than twice the larger. Find the number of degrees in each angle.      Log On


   

Question 147078: Problem:
Two angles are supplementary. Three times the smaller is five less than twice the larger. Find the number of degrees in each angle.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Supplementary means the angles add up to 180degrees
Call the larger angle a
Call the smaller angle 180+-+a
3%2A%28180+-+a%29+=+2a+-+5
540+-+3a+=+2a+-+5
5a+=+545
a+=+109
180+-+a+=+71
The angles are 71 degrees and 109 degrees
check:
3%2A%28180+-+a%29+=+2a+-+5
3%2A%28180+-+109%29+=+2%2A109+-+5
3%2A71+=+218+-+5
213+=+213
OK