Respuesta :
Answer:
[tex]30^{\circ}[/tex]
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:
[tex]\text{Each exterior angle}=\frac{360^{\circ}}{n}[/tex]
Upon substituting [tex]n=12[/tex] in above formula, we will get:
[tex]\text{Each exterior angle of a regular dodecagon}=\frac{360^{\circ}}{12}[/tex]
[tex]\text{Each exterior angle of a regular dodecagon}=30^{\circ}[/tex]
Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.
