Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

the sum of interior angles of a regular polygon is twice the sum of its exterior angles.find the number of sides of polygon.

Asked by manmeetbatth79 25th February 2015, 4:50 PM
Answered by Expert
Answer:
L e t space n space b e space t h e space n u m b e r space o f space s i d e s space o f space t h e space p o l y g o n. H e n c e space t h e r e space a r e space n space i n t e r i o r space a n g l e s. W e space h a v e comma space s u m space o f space n space i n t e r i o r space a n g l e s space i s space open parentheses n minus 2 close parentheses cross times 180 degree W e space k n o w space t h a t space t h e space s u m space o f space e x t e r i o r space a n g l e s s space o f space a space p o l y g o n space i s space 360 degree. G i v e n space t h a t comma open parentheses n minus 2 close parentheses cross times 180 degree equals 2 cross times 360 degree rightwards double arrow open parentheses n minus 2 close parentheses equals fraction numerator 2 cross times 360 degree over denominator 180 degree end fraction rightwards double arrow n minus 2 equals 4 rightwards double arrow n equals 4 plus 2 equals 6 S o space t h e r e space a r e space 6 space s i d e s. T h e r e f o r e comma space i n space a space h e x a g o n comma space t h e space s u m space o f space i n t e r i o r space a n g l e s space i s space t w i c e space t h e space s u m space o f space i t s space e x t e r i o r space a n g l e s.
Answered by Expert 26th February 2015, 9:05 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!