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the formula for the total number of degrees in a polygon is (x=number of sides)

(x-2)180=total degree measure and you divide that number by x to get each angle measure of a regular polygon. so ((x-2)180)/x=30

solve for x and you get x=2.4

you can't have 2.4 sides in a polygon. so no, a regular polygon can't have an interior angle of 30 degrees

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Q: Can a regular polygon have interior angle of 30 degrees?
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