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Sameer has some geometry homework and is stuck with a question. The question says that the sum of the interior angles of a polygon doesn't exceed 2014 degrees.

What is the maximum possible number of sides of the polygon?

 Jan 4, 2020
 #1
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13 sides.

 Jan 4, 2020
 #2
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The sum of the interior angles of a polygon is given by the formula:

sum = 180(n-2) degrees

2014 >= 180(n-2)

11.18 >= n-2

13.18 >= n    

n <= 13.18       So 13 sides is correct !  

 Jan 4, 2020
edited by ElectricPavlov  Jan 4, 2020

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