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

User Lazywei
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2 Answers

6 votes

Answer:

1800°

Explanation:

the sum of the interior angles of a polygon is calculated as

sum = 180° (n - 2) ← n is the number of sides

here n = 12 , then

sum = 180° × (12 - 2) = 180° × 10 = 1800°

User Peter Obiechina
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3 votes

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°

User Murilo Cruz
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