Question

A. 15 degrees B. 45 degrees C. 30 degrees D. 60 degrees

Answer 1

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:

$interior\ angle=\frac{720\°}{6}=120\°$

Therefore, the measure of ∠1 is:

 $\angle 1=\frac{120\°}{2}\\\\ \angle 1=60\°$

So, to find the angle ∠2, you can divide ∠1 by 2:

$\angle 2=\frac{60\°}{2}\\\\ \angle 2=30\°$