To find the number of sides in a regular polygon with an exterior angle of 12 degrees, you can use the formula for the exterior angle, which is ( \frac{360}{n} ), where ( n ) is the number of sides. Setting this equal to 12 degrees gives the equation ( \frac{360}{n} = 12 ). Solving for ( n ) results in ( n = \frac{360}{12} = 30 ). Therefore, the polygon has 30 sides.
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