Question

What is the measure of each interior angle of a regular hexagon?

Answer 1

120 degrees
you can divide a hexagon into 6 equilateral triangles and add up the bottom angles to get 120 degrees

Answer 2

The measure of each interior angle of a regular hexagon is 120 degrees.

Explanation:

We have to find the measure interior angle of a regular hexagon.

In a regular hexagon there are six sides which are equal in length and the six angles of regular hexagon are also equal.

Hence, all the interior angle of a regular hexagon are equal.

We can calculate the measure of interior angle with the help of Interior angle formula:

`(n-2)* \displaystyle(180)/(n)`

where n is the number of sides of regular polygon.

For a regular hexagon, we have n = 6.

Putting n = 6 in the formula, we have:

`4* \displaystyle(180)/(6) = 120\textdegree`

Hence, the measure of an interior angle of a regular hexagon is 120 degrees.