Question

1. what is the measure of an exterior angle of a regular nonagon? 140° 360° 40° 180°

Explanation:

Step1: Recall exterior - angle sum property

The sum of exterior angles of any polygon is 360°.

Step2: Identify number of sides of non - agon

A non - agon has 9 sides.

Step3: Calculate exterior angle measure

For a regular polygon, each exterior angle $\theta=\frac{360^{\circ}}{n}$, where $n$ is the number of sides. Substituting $n = 9$, we get $\theta=\frac{360^{\circ}}{9}=40^{\circ}$.

Answer:

40°