Question

A. 15 degrees

B. 45 degrees

C. 30 degrees

D. 60 degrees

Answer 1

Answer: C. 30 degrees

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=(720\°)/(6)=120\°`

Therefore, the measure of ∠1 is:

`\angle 1=(120\°)/(2)\\\\ \angle 1=60\°`

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

`\angle 2=(60\°)/(2)\\\\ \angle 2=30\°`