Answer:
The measure of the angle is [tex]30\°[/tex]
Step-by-step explanation:
Let
x-----> the measure of the angle in degrees
we know that
The measure of a complete circle is [tex]360\°[/tex]
so
by proportion
[tex]\frac{360}{1}\frac{degrees}{circle}=\frac{x}{(1/12)}\frac{degrees}{circle}[/tex]
[tex]x=\frac{1}{12}(360\°)[/tex]
[tex]x=\frac{360\°}{12}[/tex]
[tex]x=30\°[/tex]