The interior angle sum of a polygon is 2160º. How many sides does the polygon have?
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The formula for the sum of the interior angles of a n-sided polygon is given by (n-2) x 180°, where n is the number of sides. Expand the formula to get 180n - 360°.
Since we are given the interior angle sum of 2160°, the new equation will be 2160°=180n -360°.
Add 360° to both sides: 2520 = 180n
Divide both sides by 180 to get n on one side: n = 2520/180
And n will be 14!
14 sides
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