Question

What is the measure of an exterior angle of a regular nonagon

Answer 1

A regular nonagon is 9-sided polygon with all congruent sides and congruent interior angles.

The sum of exterior angles of n-sided polygon is 360°. If all interior angles of regular nonagon are congruent, then all exterior angles are congruent too.

Then each exterior angle has the measure of

$\dfrac{360^{\circ}}{9}=40^{\circ}.$

Answer: $40^{\circ}$