SOLUTION: The measure of one angle of a triangle is 55 degrees. A second angle contains 2/3 as many degrees as the third angle. How many dgrees in the largest angle?

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Question 422613: The measure of one angle of a triangle is 55 degrees. A second angle contains 2/3 as many degrees as the third angle. How many dgrees in the largest angle?
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solution: Denote X degree the largest angle. The second angle is 2%2AX%2F3 degree and the first angle is 55 degree. We know that the sum of the three angles is 180 degree. Therefore we write:
x%2B2x%2F3%2B55=180
+5x%2F3+=+125
+5x+=+375+
x = 75
Answer: The largest angle is 75 degree, The second angle is 2%2A75%2F3 = 50 degree.