SOLUTION: The measure of the smallest angle of a triangle is one half the measure of the second angle. If the measure of the largest angle is six times the measure of the smallest angle, wha

Algebra ->  Angles -> SOLUTION: The measure of the smallest angle of a triangle is one half the measure of the second angle. If the measure of the largest angle is six times the measure of the smallest angle, wha      Log On


   

Question 1067915: The measure of the smallest angle of a triangle is one half the measure of the second angle. If the measure of the largest angle is six times the measure of the smallest angle, what are the measures of the angle?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x  smallest
y  middle
z  largest


system%28x=y%2F2%2Cz=6x%2Cx%2By%2Bz=180%29

The neat way is to use the first two equations to substitute for y and z in terms of x, in the interior-angle sum equation.
x%2B2x%2B6x=180
and go from there.