Question

What is the sum of the measures of the exterior angles of a nonagon? Enter your answer in the box. °

Answer 1

The sum of the exterior angles of any polygon is 360 degrees.

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360 degrees.

While for a non regular nonagon, sum of an interior angle & its adjacent exterior angle is always 180.

Therefore to find the measure of one exterior angle of any regular (all angles are congruent) polygon, divide 360 by the number of angles. In the case of a regular nonagon, the measure of one exterior angle is 40 degrees: 360 / 9 = 40 degrees.

Answer 2

Keep in mind

⇒Sum of exterior angles of any polygon is 360°.

So, we don't need to evaluate each exterior angle of nonagon.

The Sum of measure of exterior angle of nonagon will be 360°.