SOLUTION: what is the sum of the measure of the exterior angle of a convex 13-gon

Question 4305: what is the sum of the measure of the exterior angle of a convex 13-gon
Answer by khwang(438) (Show Source): You can put this solution on YOUR website!
No matter what size of polygons (convex or concave).
the sum of the measure of the exterior angles is always 2pi.
Proof: For any n polygons(n > 3),since we can divide it
as (n-2) triangles. So,the sum all its interior angles
is (n-2)pi. Since an interior angle + its corresponding exterior
angle = pi. We see that the sum of all exterior angles
= n*pi - (n-2)pi = 2 pi
Kenny

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