SOLUTION: The sum of all the interior and exterior angles of a polygon is 2880. how many sides does the polygon have?

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Question 538019: The sum of all the interior and exterior angles of a polygon is 2880. how many sides does the polygon have?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of all the interior and exterior angles of a polygon is 2880. how many sides does the polygon have?
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The easy way:
2880/180 = 16
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The hard way:
The sum of exterior angles is always 360 degs, so the sum of the interior angles is 2520 degs.
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sum of int = (n-2)*180 = 2520
n-2 = 2520/180 = 14
n = 16 sides