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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The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.
A regular polygon with each interior angle measuring 120 degrees is a hexagon.
Not possible - the smallest interior angle for a regular polygon is 60 degrees - which creates an equilateral triangle.
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
If it's a regular polygon then each interior angle measures 120 degrees.