cowboysan88 cowboysan88
  • 27-05-2021
  • Mathematics
contestada

How many sides does a polygon have if the sum of the interior angles is 2240
?

Respuesta :

mhanifa
mhanifa mhanifa
  • 27-05-2021

Answer:

Note: it seems a typo, should be 2340 instead of 2240

Sum of interior angles of a polygon:

  • S = 180(n - 2)

We have:

  • S = 2340

Find n:

  • 180(n - 2) = 2340
  • n - 2 = 2340/180
  • n - 2 = 13
  • n = 15

15 sides

Answer Link
MisterBrainly
MisterBrainly MisterBrainly
  • 05-08-2022

90(2n-4)=Sum of interiors

  • 2240=90(2n-4)
  • 2240=180n-360
  • 180n=2600
  • n=2600/180
  • n=14.4=14
Answer Link

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