36.3k views
2 votes
What is the sum of the measures of the exterior angles in a nonagon? explain

1 Answer

7 votes

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
(360^(\circ))/(9) =40^(\circ).

User Tony Maro
by
6.4k points