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 ?
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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):
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.
