SOLUTION: The ratio of the measures of three angles is 4:5:6. Find the measure of each angle of the triangle?

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Question 564347: The ratio of the measures of three angles is 4:5:6. Find the measure of each angle of the triangle?
Answer by ad_alta(240) About Me  (Show Source):
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If the three angle are x, y, and z, we know that x+y+z=180. From the ratios we also know that x/y=4/5 and x/z=2/3. Substituting, we get x+(5/4)x+(3/2)x=180, so x=48. This means y=60 and z=72.