3 corners A, B, C of the triangle ABC is inversely proportional to 3, 5, 2. Find those 3 angles' measurements

I assume this means 

 

A = k/3,  B = k/5 and C = k/2  where k is a constant.

 

A+B+C = 180°  so  k/3 + k/5 + k/2 = 180 or 31k/30 = 180 so that k = 5400/31

 

Hence A = 1800/31 ≈ 58.1°,  B = 1080/31 ≈ 34.8° and C = 2700/31 ≈ 87.1°

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