SOLUTION: the sum of the interior angles of a polygon is 8280. how many sides does the polygon have?

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Question 1100158: the sum of the interior angles of a polygon is 8280. how many sides does the polygon have?
Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
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The sum of the interior angles of an n-sided polygon is (n-2)*180°.


So, your equation is

(n-2)*180 = 8280  degrees  ====>  n-2 = 8280%2F180 = 46  ====>  n = 46 + 2 = 48.


Answer. The polygon has 48 sides.