Find angle θ ABCDEF is a regular hexagon

Answer 1

use the formula (n-2)(180) to determine the sum of all of the angles in the hexagon, or any other polygon

n=the number of sides of the polygon

(6-2)(180)=4*180=720°

since all of the angles are equal divide 720 by 6

720/6=120° is the measure of each angle

Answer 2

The key to this problem is to realize that a regular hexagon is one where all the sides and all of the angles are the same (equilateral and equiangular). This is what "regular" means for any polygon.

So knowing that:

A hexagon has 6 sides and 6 angles,

The sum (total) of all of these angles is 720 degrees (if you ever cannot remember how many degrees are in a polygon, divide it into smaller shapes, for example a hexagon can be divided into four triangles. All triangles have 180 degrees. So 4 x 180 = 720 total degrees in a hexagon)

All of the angles are exactly the same

This should be enough information to solve the problem. If you are still confused, just comment below and I will take it a step further and good luck!