Answer:
Option D.75°
Step-by-step explanation:
we know that
The sum of the interior angles of a regular dodecagon is equal to
[tex]S=(n-2)*180[/tex]
where
n is the number of sides
In this problem
n=12 sides
substitute
[tex]S=(12-2)*180[/tex]
[tex]S=1,800\°[/tex]
Find the measure of each interior angle
Divide the sum of the interior angles by the number of sides
[tex]1,800\°/12=150\°[/tex]
The measure of the angle formed by the radius and the side of a regular dodecagon is half the measure of the interior angle
therefore
[tex]150\°/2=75\°[/tex]
