Answer:
Option B.
Step-by-step explanation:
A nonagon has 9 vertices. So, the number of exterior angles is 9.
We know that sum of exterior angles of any polygon is 360 degrees. So,
Sum of exterior angles of a nonagon = 360 degrees
The measures of all exterior angles of regular nonagon are same.
We need to find the measure of an exterior angle.
The measure of an exterior angle of a regular polygon is
[tex]\text{Exterior angle}=\dfrac{360^\circ}{\text{Number of vertices}}[/tex]
[tex]x^\circ=\dfrac{360^\circ}{9}[/tex]
[tex]x^\circ=40^\circ[/tex]
Therefore, the correct option is b.
