Question 326840: If the measure of one exterior angle of a regular polygon is 30 degrees how many sides does the polygon have? Answer by jessica43(140) (Show Source):
You can put this solution on YOUR website! 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.
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