Question

To the nearest degree what is the measure of each exterior angle of a regular dodecagon

Answer 1

Answer:

$30^{\circ}$

Step-by-step explanation:

We are asked to find the measure of each exterior angle of a regular dodecagon.

We know that a regular dodecagon is a 12 sided regular polygon with each side equal.

We know that measure of each angle of n-sided regular polygon can be found using formula:

$\text{Each exterior angle}=\frac{360^{\circ}}{n}$

Upon substituting $n=12$ in above formula, we will get:

$\text{Each exterior angle of a regular dodecagon}=\frac{360^{\circ}}{12}$

$\text{Each exterior angle of a regular dodecagon}=30^{\circ}$

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.