Question

what is the measure of the sum of the exterior angles of an n-gon?

Answer 1

If you go all the way around you go 360 degrees :)

Answer 2

As a matter of fact if you go all the way around anything you end up pointed the same way you started, even if it is curved or indented or whatever. So the answer in the end is always 360 degrees.

Answer 3

I should add you go total 360 degrees of right turns if clockwise and 360 degrees total left turns if counterclockwise.