ms. miles has a wooden table in her classroom in the shape of a regular octagon. what is the measure of each interior angle of the octagonal table? answer: 135 degrees

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Accepted Answer

# Explanation:
## Step1: Find the 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 an octagon, $n = 8$.
$$
\begin{align*}
S&=(8 - 2)\times180^{\circ}\
&=6\times180^{\circ}\
& = 1080^{\circ}
\end{align*}
$$
## Step2: Find the measure of each interior angle
Since it is a regular octagon (all angles are equal), divide the sum of interior angles by the number of angles ($n = 8$).
$$
\begin{align*}
\text{Each interior angle}&=\frac{1080^{\circ}}{8}\
&=135^{\circ}
\end{align*}
$$
# Answer:
$135$ degrees

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Question

Explanation:

Step1: Find the sum of interior angles

Step2: Find the measure of each interior angle

Answer: