Question

Find the sum of all n exterior angles of a n-sided convex polygon, where n is any positive integer larger than 3. Show all the working details and reasons.

I already know that the total is 360 degrees, but how would I use mathematical proof to figure it out?

Answer 1

The sequence of external angles of a convex polygon, if joined together like slices of a pie, must add up to a complete circle, for obvious reasons.