SOLUTION: Question is: The smallest angle in a triangle is one-third of the largest angle. The third angle is 10 degrees more than the smallest angle. Find the measure of all three angles.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Question is: The smallest angle in a triangle is one-third of the largest angle. The third angle is 10 degrees more than the smallest angle. Find the measure of all three angles.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 491472: Question is: The smallest angle in a triangle is one-third of the largest angle. The third angle is 10 degrees more than the smallest angle. Find the measure of all three angles.
Please explain and show the process too so I can learn better what I'm doing. I have a hard time with fractions sometimes. Thanks! :)

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
smallest=x
largest=3x
middle=x+10
180 degrees in a triangle
Set everything from one value, usually the smallest.
----------------
x+3x+x+10=180
5x=180-10
5x=170
x=34
3x=102
x+10=44