Source: http://www.fromquarkstoquasars.com/20-gifs-that-teach-you-science-concepts-better-than-your-teacher-probably-can/
This is the real reason why exterior angles of a polygon add up to 360 degrees! If you shrink the polygon (which doesn’t affect the sum of exterior angles), the exterior angles eventually meet at a point, and the sum of angles at a point is 360 degrees.
This is some cool math to think about!
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Mathtuition88 