The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
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The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
The exterior angles of any polygon add up to 360 degrees
They add up to 360 degrees
The sum of the exterior angles of any polygon is 360 degrees. To demonstrate simply that this is so, imagine you are to run the distance of a polygon. Beginning at vertex A, you run some distance, then turn some amount. This continues until finally you have made a complete loop around the track, turning a full 360 degrees. The sum of those exterior angles is always 360 degrees for any polygon.
It is generally accepted to count only one vertex per side when calculating the sum of exterior angles. If this is what you mean, then for every convex polygon (all angles point away from center), the sum is always 360º.However, you can also count two vertexes per side, so the sum would then be double, or 720º.