What is the measure of any exterior angle of a regular nonagon?

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Question

What is the measure of any exterior angle of a regular nonagon?

Options:

A . 40∘

B . 100∘

C . 140∘

D . 90∘

Answer: Option A
:
A
Sum of the exterior angles of a polygon (irrespective of the number of sides) is

360^{\circ}

.
In a nonagon, the measure of all exterior angles will be the same i.e.

360^{\circ}

.
Also, nonagon has 9 sides.
So, measure of each exteriorangle
=

\frac{360^{\circ}}{9} = 40^{\circ}

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