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If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?
We know that the sum of an exterior angle and an interior angle of a polygon = 1800. We also know that sum of all the exterior angles of a polygon = 3600. The question states that the sum of all interior angles of the given polygon = 14400. Therefore, sum of all the interior and exterior angles of the polygon = 1440 + 360 = 1800 If there are ‘n’ sides to this polygon, then the sum of all the exterior and interior angles = 180 * n = 1800 Therefore, n = 10.
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