The internal angles of a regular nonagon are 140o, so the exterior angles must be 220o (360o-140o).
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If each exterior angle is 9 degrees then it is a regular 40 sided polygon.
360 / 9 = 40
40
A 9 sided polygon is a Nonagon.
The number of sides of an n-sided polygon is also the number of angles of that polygon. Nonagons have 9 sides, so 9 angles.