find the measure of each interior angle of the regular polygon. the measure of each interior angle is □°.

Question

Accepted Answer

# Explanation:
## Step1: Determine the number of sides of the polygon
The polygon in the image is a regular decagon (10 - sided polygon).
## Step2: Use the formula for the measure of an interior angle of a regular polygon
The formula for the measure of an interior angle $\theta$ of a regular $n$ - sided polygon is $\theta=\frac{(n - 2)\times180^{\circ}}{n}$.
Substitute $n = 10$ into the formula:
$$
\begin{align*}
\theta&=\frac{(10- 2)\times180^{\circ}}{10}\
&=\frac{8\times180^{\circ}}{10}\
&=144^{\circ}
\end{align*}
$$

# Answer:
$144$

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QUESTION IMAGE

Question

Explanation:

Step1: Determine the number of sides of the polygon

Step2: Use the formula for the measure of an interior angle of a regular polygon

Answer: