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The sum of the exterior angles of any polygon is 360 degrees. this is true whether the figure is regular or irregular, and irrespective of how many sides/vertices it has. For a regular nonagon, the 9 equal external angles sum to 360 degrees and so each measures 360/9 = 40 degrees.

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Each exterior angle is 360/9 = 40 degrees

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Q: Size of an exterior angle of a regular nonagon?
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