SOLUTION: The ratio of the measures of the angles of a triangle is 2 : 5 : 3. What are the angle measures?

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Question 465505: The ratio of the measures of the angles of a triangle is 2 : 5 : 3. What are the angle measures?
Answer by richard1234(5390) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angles be 2x, 5x, 3x. Their sum must be 180, so

2x + 5x + 3x = 180

10x = 180

x = 18

So the angle measures are 36, 90, 54 (replacing x = 18 into 2x, etc.).