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The interior angles of a regular polygon must be 60 degrees or greater.
The sum of the interior angles of a n-sided polygon is (n-2)*180 degrees. This is true whether or not the polygon is regular.
The interior angles of a polygon (regular or not) with n sides sum to (n - 2)*180 degrees.
The interior angles of a regular polygon cannot be less than 60 degrees so 24 degrees is not possible. ------------------------------- However a regular polygon with EXTERIOR angles of 24° has 360° ÷ 24° = 15 sides.
A 6 sided polygon is called a Hexagon. The sum of the interior angles or a regular hexagon is 720 degrees.