Respuesta :

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]