SOLUTION: as the number of sides of a regular polygon increases, What happens to the measure of each exterior angle? What is the least to the possible measure of an exterior angle of a polyg
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Question 399886: as the number of sides of a regular polygon increases, What happens to the measure of each exterior angle? What is the least to the possible measure of an exterior angle of a polygon?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The sum of the measures of the exterior angles of a polygon is 360 degrees regardless of the number of sides. That means that the measure of each exterior angle must get smaller as the number of sides increases.
There is no "least possible measure" because even though the limiting value is 0 you can never achieve a 0 degree exterior angle and still have a polygon. You can get as close to zero as you like, but as close as you get, someone else can always come along and get closer. Another way to look at it is that a zero degree exterior angle measure implies that there are an infinite number of sides. And an infinite number of sides implies a circle, not a polygon.
John
My calculator said it, I believe it, that settles it
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