Question

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

Answer 1

`30^(\circ)`

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}=(360^(\circ))/(n)`

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

`\text{Each exterior angle of a regular dodecagon}=(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.