each interior angle of a regular polygon is 120 degrees greator than each exterior angle.how many sides are there in the polygon


1)6 2)8 3)12 4)16

• Interior angle = 180 - (360/n)
  Exterior angle = (360/n)
  
  Given: IA = 120 + EA
  => 180 - (360/n) = 120 + (360/n)
  => n = 12
• 11 years agoHelpfull: Yes(22) No(1)
• 
  int angle + ext angle = 180
  int angle - ext angle = 120
  so int angle 150 and ext angle 30
  
  Now total of ext angle is 360. so number of sides = 360 /30 = 12
  
• 10 years agoHelpfull: Yes(10) No(0)
• 12
  
  
  It means each interior angle is 150 deg and exterior angle is 30 deg .
  sum of all exterior angles = 360 deg
  
  if there are n sides, then
  30*n=360
  n=12
• 11 years agoHelpfull: Yes(3) No(0)
• IA = 120 + EA
  180 - (360/n) = 120 + (360/n)
  n = 12
• 11 years agoHelpfull: Yes(2) No(0)