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What is the sum of the exterior angles of any polygon?

  1. 180 degrees

  2. 360 degrees

  3. 540 degrees

  4. 720 degrees

The correct answer is: 360 degrees

The sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides the polygon has. This property holds true for both regular and irregular polygons. To visualize this, imagine walking around the polygon and turning at each vertex to keep facing the same direction as you move along the perimeter. Each turn you make at a vertex corresponds to one exterior angle, and as you complete a full rotation around the polygon, these angles always add up to 360 degrees. This uniformity in the sum of the exterior angles is a fundamental characteristic of polygons in geometry, which is why 360 degrees is the correct answer.