SOLUTION: the measurement of the largest angle in a triangle is twice the measurement of the smallest angle. the third angle 10 degrees less than the largest angle. find the measure of each

Algebra ->  Angles -> SOLUTION: the measurement of the largest angle in a triangle is twice the measurement of the smallest angle. the third angle 10 degrees less than the largest angle. find the measure of each       Log On


   

Question 502951: the measurement of the largest angle in a triangle is twice the measurement of the smallest angle. the third angle 10 degrees less than the largest angle. find the measure of each angle.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
smallest angle =x
largest angle =2x
third angle = 2x-10
The sum of the angles of triangle = 180 deg
x+2x+2x-10=180
5x-10=180
5x=180+10
5x=190
x=38 deg
plug x
2x=>2*38=76 deg
2x-10=> 76-10 = 66 deg
***
66+76+38=180 deg