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What is the sum of the interior angles of a regular polygon with 12 sides?
A. 1260
B. 1800
C. 2160
OD. 360


Sagot :

The sum of the interior angles of a regular polygon of 12 sides is 1800°

What is a polygon?

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the all the interior angles of a polygon with 'n' number of sides is given by the formula,

Sum of all the angles = (n-2) × 180°

Since the number of sides in the polygon is 12, the sum of the angles will be,

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

Hence, the sum of the interior angles of a regular polygon of 12 sides is 1800°.

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