Question

What is the sum of the measures of the exterior angles in a nonagon? explain

Answer 1

The sum of the measures of all exterior angle in a polygon with n sides is always $360^{\circ}$.

Nonagon is a polygon with 9 sides. If this nonagon is regular or equiangular, then all interior angle are congruent, and therefore all exterior angles are congruent. Then the measure of each exterior angle is $\dfrac{360^{\circ}}{9} =40^{\circ}$.