The sum of the exterior angles of any convex polygon, taken one at each vertex, is:

The sum of the exterior angles of any convex polygon, taken one at each vertex, is:
  1. $180^{\circ}$
  2. $360^{\circ}$
  3. Depends on the number of sides
  4. $(n-2) \times 180^{\circ}$

Solution

For ANY convex polygon, the sum of the exterior angles (one at each vertex) is always $360^{\circ}$, independent of the number of sides.

Asked in: IMO

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