Chapter 12, Problem 9CT

To determine

To find: The measure of an interior angle of a regular hexagon.

Answer to Problem 9CT

The value of an interior angle of a regular hexagon is $120$ degree.

Explanation of Solution

Given information: A regular hexagon.

Calculation:

The formula to calculate the interior angle is $=180(\text{n}-2)$$\mathrm{......}(1)$

Where, $\text{n}$ is the number of sides, for the hexagon, $\text{n=6}$ .

To get an interior angle divide the equation $(1)$ by the number of angles, for the hexagon the number of angle is $6$ .

Let, The value of an interior angle of a regular hexagon is $x$ .

Let’s find the value of $x$ ,

  $\begin{array}{l}x=\frac{180(6-2)}{6}\\ x=\frac{180\times 4}{6}\\ x=30\times 4\\ x=120\end{array}$

Hence, The value of an interior angle of a regular hexagon is $120$ degree.