If the sum of the interior angles of a polygon is equal to the sum of the exterior angles, what is the number of sides of the polygon?
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Sum of interior angles of a regular polygon is given by the formula (n-2)180°, where n indicates its number of sides. Also, the sum of its exterior angles is 360°. So n=6.
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The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
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