the number of sides of two regular polygons are in the ratio 4:5 and their interior angles r in the ratio 15:19 .find the number of sides of each..

Let  number of sides are  4x  and  5x
Then   (4x - 2)180 / (5x - 2)180 = 15/19
           76x - 38 = 75x - 30
               x    =  8
Thus number of sides are  32   and  40 Answer
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