SOLUTION: The measure of the smallest angle of a triangle is one-third measure of the largest angle. The measure of the second angle is 51* less than the measure of the largest angle. Fine t

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Question 1013202: The measure of the smallest angle of a triangle is one-third measure of the largest angle. The measure of the second angle is 51* less than the measure of the largest angle. Fine the measure of the angles of the triangles.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
z, the largest angle
The other two angles measures are z/3 and z-51.

Sum of interior angle measures, .
Solve for z and then evaluate the other two angles.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The measure of the smallest angle of a triangle is one-third measure of the largest angle. The measure of the second angle is 51* less than the measure of the largest angle. Fine the measure of the angles of the triangles. 
Let smallest angle be S

Then largest angle = 3S, and 2nd/middle angle = 3S - 51

We then get: S + 3S + 3S - 51 = 180

Solve for S, the smallest angle, then the largest and the 2nd, not necessarily in that order. 

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