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Question

How many sides does a polygon have if sum of its interior angles is 3780⁰?

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Solution

Sum of interior angles of a polygon = (n-2)*180⁰
So,
(n-2)*180⁰ = 3780⁰
(n-2) = 3780/180 = 21
n = 23

Therefore the polygon has 23 sides.

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