SOLUTION: the smallest angle in a triangle is half of the largest angle. The third angle is 15 degrees less than the largest angle. Find the measures of all the angles

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Question 788092: the smallest angle in a triangle is half of the largest angle. The third angle is 15 degrees less than the largest angle. Find the measures of all the angles
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= measure of the largest angle
x%2F2= measure of the smallest angle
x-15%5Eo= measure of the third angle
Since the measures of the angles oif a triangle add up to 180%5Eo,
x%2Bx%2F2%2Bx-15%5Eo=180%5Eo
x%2Bx%2F2%2Bx=15%5Eo%2B180%5Eo
x%281%2B1%2F2%2B1%29=195%5Eo
%285%2F2%29x=195%5Eo
x=%282%2F5%29195%5Eo
x=2%2A195%5Eo%2F5
x=2%2A195%5Eo%2F5
x=390%5Eo%2F5
x=78%5Eo= measure of the largest angle
x%2F2=78%5E2%2F2=39%5Eo= measure of the smallest angle
x-15%5Eo=78%5Eo-15%5Eo=63%5Eo= measure of the third angle