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

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) (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 =  = 72

  360/72 = number of sides = 5

 

RELATED QUESTIONS

what is the internal and external angle of a regular 16 sided... (answered by Alan3354)
Find the number of sides of a regular polygon whose internal angle is five times as large  (answered by Alan3354)
When you are given the internal angles of a polygon and the external angle is always 360,  (answered by drk,MRperkins)
The ratio of an exterior angle and interior angle of a regular polygon is 2:7. Find each... (answered by Alan3354)
the ratio of the interior and exterior angle of a regular polygon is 5:2.find the number... (answered by Alan3354)
The ratio of the interior angle to the  exterior angle of a regular polygon is 5:2. Find... (answered by Alan3354)
The ratio of the interior angle to the exterior angle of a regular polygon is 5 : 2. Find  (answered by ikleyn)
The ratio of the interior angle to the exterior angle of a regular polygon is 5:2. Find... (answered by Alan3354)
Given that each interior angle of a regular polygon is 162� , then the number of sides of  (answered by Alan3354)