SOLUTION: The ratio of internal and external angle of a regular polygon is 3:2, then the number of sides of polygon is ?

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Question 860587: The ratio of internal and external angle of a regular polygon is 3:2, then the number of sides of polygon is ?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent the constant of proportionality

 3x + 2x = 180

    5x = 180

     x = 36

exterior angle = 2%2A36 = 72

  360/72 = number of sides = 5