SOLUTION: One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 20 degrees more than that of the smallest angle. Find th

Algebra ->  Triangles -> SOLUTION: One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 20 degrees more than that of the smallest angle. Find th      Log On


   



Question 1046382: One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 20 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the measure of the largest angle. Then the smallest must be and the third angle must be . Since the sum of the angles of a triangle is always 180 degrees:



Solve for .

Check your work: Calculate and . Add the three values and ensure that the sum is 180.

John

My calculator said it, I believe it, that settles it