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pandalife pandalife
  • 20-04-2016
  • Mathematics
Answered

How many sides does a polygon have if the sum of its interior angles is 1,260º?

Verified Answer :

SwagKing21
SwagKing21 SwagKing21
  • 20-04-2016

one angle = 360 / n

Let x be the angle and n be the number of sides.


x = 360 / n


nx = 360


now, let's use this:


(2n - 4 )*90 = 1260

2n - 4 = 1260 / 90

2n - 4 = 42 / 3

2n - 4 = 14

2n = 18

n = 9


x = 360 / 9

x = 40 degrees for each exterior angle

so the interior angle's measurement is 140 degrees


So 9 would be the answer

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