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The sum of the exterior angles of a polygon is 360 degrees - irrespective of the number of sides or vertices, or whether the polygon is regular or convex.

If the polygon is regular - ie all its angles are equal, then the measure of each angle is simply 360 divided by the number of sides/vertices.

Assuming the 18-gon in question is regular - and there is no good reason for such an assumption - each exterior angle would be 360/18 = 20 degrees.

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Q: What are the exterior angles of an 18 sided polygon?
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