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

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Answer:


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.

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