SOLUTION: The measure of the smallest angle of a triangle is ​one-thirdthird the measure of the largest angle. The measure of the second angle is 6565degrees° less than the measure of

Algebra ->  Angles -> SOLUTION: The measure of the smallest angle of a triangle is ​one-thirdthird the measure of the largest angle. The measure of the second angle is 6565degrees° less than the measure of       Log On


   



Question 1094095: The measure of the smallest angle of a triangle is ​one-thirdthird the measure of the largest angle. The measure of the second angle is 6565degrees° less than the measure of the largest angle. Find the measure of the angles of the triangle.
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!

To make the arithmetic easier by avoiding fractions, let the measure of the smallest angle be x; then the measure of the largest angle is 3x; and then the measure of the other angle is 3x-65.

Then the sum of the three angles must be 180 degrees:
x+%2B+3x+%2B+3x-65+=+180

You can solve the problem from there.