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29-10-2022
Mathematics

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What is the sum of the measures of a 12-gon?180°360°1800°2160°

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29-10-2022

Sum of interior angles of an n-gon

The sum of the interior angles of any convex n-gon (polygon with n sides) is given by (n-2)*180°.

Since n = 12:

S = (12 - 2) * 180°

S = 10 * 180°

S = 1800°

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