In a polygon, how is the sum of the exterior angles defined?

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The sum of the exterior angles of any polygon, regardless of the number of sides or the shape of the polygon, is always 360 degrees. This fact holds true for convex polygons and can be demonstrated by considering the exterior angle at each vertex, which is formed by extending one side of the polygon.

As you move around the polygon, the total rotation you make when measuring the exterior angles is equal to one complete revolution, which corresponds to 360 degrees. This principle applies universally to all polygons, from triangles to complex shapes, making the sum of the exterior angles consistent at 360 degrees.

Therefore, the correct answer reinforces this foundational property of polygons, and understanding this concept is key to solving various problems related to polygons and their angles.

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