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The polygon would have 10 sides.
no polygon can have its angle sum be 1660 degrees. the closest shape would be a 11 sides shape
The sum of all the internal angles of a polygon with n sides is 180*(n-2) degrees. In a regula polygon, therefore, each internal angle is 180*(n-2)/n degrees. Also The sum of all the external angles in 360 degrees. The sum of each external angle in a regular polygon is 360/n degrees.
The sum of the internal angles of a polygon of n sides is (n-2)*180 degrees.
The sum of the interior angles of a polygon with n sides is 180*(n-2) degrees.