SOLUTION: the smallest angle in a triangle is one-third of the largest angle.The third angle is 20 degrees more than the smallest angle. Find of all three angles ?

Question 237726: the smallest angle in a triangle is one-third of the largest angle.The third angle is 20 degrees more than the smallest angle. Find of all three angles ?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the measure of the smallest angle. Then the measure of the largest angle must be

and the measure of the third angle must be

. Since the sum of the measures of the three angles of any triangle is 180�, we can write:

Solve for

to get the measure of the smallest angle. Multiply that by 3 to get the measure of the largest, and add 20 to it to get the measure of the third one.

John

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