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If the sum of the measures of the interior angles of a convex polygon is 2160o, how many sides does the polygon have?

If the sum of the measures of the interior angles of a convex polygon is 2160o, how many sides does the polygon have?
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If the sum of the measures of the interior angles of a convex polygon is 2160o, how many sides does the polygon have?

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User Netimen
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1 Answer

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Sum of interior angles of a polygon of n sides is equal to (n. 180 - 360) given 180n - 360 = 2160

180n = 2160 + 360
n = 2520/180
n = 14
so, the polygon have 14 sides.

hope this help
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User Gasparms
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