SOLUTION: The smallest angle in a triangle is ten degrees smaller than the meduim angle, and the larget angle is ten degrees more than twice the medium angle. What are the angle measures in

Algebra ->  Angles -> SOLUTION: The smallest angle in a triangle is ten degrees smaller than the meduim angle, and the larget angle is ten degrees more than twice the medium angle. What are the angle measures in      Log On


   

Question 335385: The smallest angle in a triangle is ten degrees smaller than the meduim angle, and the larget angle is ten degrees more than twice the medium angle. What are the angle measures in the triangle?
equation:
solution:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x-10 smaller angle.
x=medium angle.
2x+10=largest angle.
x-10+x+2x+10=180
4x=180
4x=180
x=180/4
x=45 degrees for the medium angle.
45-10=35 degrees for the smallest angle.
2*45+10=90+10=100 degrees for the largest angle.
Proof:
35+45+100=180
180=180