If the exterior angle of a regular polygon is 30 degrees, how many sides does the polygon have?

To find the measure of each exterior angle of a regular polygon, you just divide 360 degrees by the number of sides. This can be written as: A = 360/s (where A = measure of exterior angle, s = number of sides) Since we know that the measure of the angle is 30 degrees, we can plug this in for A and solve for s: A = 360/s 30 = 360/s 30s = 360 s = 12

So the polygon has 12 sides.