Question

What is the measure of each exterior angle of a regular $30$ sided polygon?

Answer 1

The measure of each exterior angle of a polygon:

The sum of all the exterior angles in a polygon is equal to $360$ degrees.

In a regular polygon, the measure of each exterior angle is equal.

In a regular $30$ sided polygon, there are $30$ exterior angles.

The measure of each exterior angle is$\frac{360}{30}=12°$.

Hence, the measure of each exterior angle of a regular $30$ sided polygon is equal to $12°$.