7. find the measure of each of the interior angles of the regular hexagon using the polygon interior angle sum theorem. 120° 720° 1080° 60°

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Accepted Answer

# Explanation:
## Step1: Calculate sum of interior angles
The formula for the sum of interior angles of a polygon is $(n - 2)\times180^{\circ}$, where $n$ is the number of sides. For a hexagon, $n = 6$.
$$
\begin{align*}
S&=(6 - 2)\times180^{\circ}\
&=4\times180^{\circ}\
&=720^{\circ}
\end{align*}
$$
## Step2: Find measure of each interior angle
Since it is a regular hexagon (all angles are equal), divide the sum by $n$.
$$
\begin{align*}
\text{Each angle}&=\frac{720^{\circ}}{6}\
&=120^{\circ}
\end{align*}
$$

# Answer:
$120^{\circ}$

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Question

Explanation:

Step1: Calculate sum of interior angles

Step2: Find measure of each interior angle

Answer: