360/24 = 15 sides.
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Total central angle = 360 degrees. Each angle = 30 degrees so number of angles = 360/30 = 12. So the polygon would have 12 sides.
Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.
A regular polygon with an exterior angle of40O is a nonagon, and has 9 sides.
Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides