A regular nonagon has 9 sides. To find the measure of each exterior angle of a regular polygon, you can use the formula:
Exterior Angle = 360° / n
where n is the number of sides of the polygon.
For a nonagon, n is 9. Plugging in the value:
Exterior Angle = 360° / 9 = 40°
This means that each exterior angle of a regular nonagon measures 40 degrees. The sum of all the exterior angles of any polygon is always 360 degrees, and since all angles in a regular nonagon are equal, dividing 360 by the number of sides gives us the measure of each individual exterior angle.