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The sum of exterior angles of any regular polygon is 360°.

Let n be the number of sides of the regular polygon.

The measure of exterior angle is 24°

     n = sum of exterior angles ÷ measure of an exterior angle
     n = 360° ÷ 24°
     n = 15 

ANSWER:  The number of sides of a regular polygon with an exterior angle of 24° is 15 sides.

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