Answer: C. 30 degrees
Step-by-step explanation:
By definition, an hexagon is a polygon with six sides.
The sum of the interior angles of an hexagon is 720 degrees.
Based on this, the measure of eac interior angle is:
[tex]interior\ angle=\frac{720\°}{6}=120\°[/tex]
Therefore, the measure of ∠1 is:
[tex]\angle 1=\frac{120\°}{2}\\\\ \angle 1=60\°[/tex]
So, to find the angle ∠2, you can divide ∠1 by 2:
[tex]\angle 2=\frac{60\°}{2}\\\\ \angle 2=30\°[/tex]
