The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between their interior angles is 2 : 3. The number of sides of these polygons is respectively

• 4 and 8
  
  If 1st polygon has n sides => 2nd polygon has 2n sides
  
  They are regular polygons
  => Interior angle of 1st = (n-2)180/n
  => Interior angle of 2nd = (2n-2)180/2n
  
  Ratio of interior angle = 2 : 3
  => [ (n-2)180/n ] / [ (2n-2)180/2n ] = 2/3
  => n = 4 , 2n = 8
  
  Hence the no. Of sides of each polygon are 4 and 8
  
• 11 years agoHelpfull: Yes(3) No(0)