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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.
The sum of the exterior angles of a polygon is equal to 360 degrees.
The sum of the exterior angles of ANY polygon is 360 degrees.
The sum of the exterior angles of ANY polygon is 360 degrees.
The sum of the exterior angles of any polygon is 360 degrees.