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There is no 'why' because this is not true. Just take a triangle for example. The sum of the exterior angles is 360, but that is not the only polygon. Now take a square. The sum of the exterior angles is 1080. So your statement is not true for a square, rectangle, parallelogram, lots of other polygons.

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10y ago
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Q: Why is the sum of the exterior angles of any polygon 360?
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