determine the degree measure of one angle of a 45 - sided regular polygon. 8,100° 7,740° 172° 180°

Question

Accepted Answer

# Explanation:
## Step1: Find the sum of interior angles
The formula for the sum of interior angles of a polygon is $S=(n - 2)\times180^{\circ}$, where $n = 45$.
$$
\begin{align*}
S&=(45- 2)\times180^{\circ}\
&=43\times180^{\circ}\
&=7740^{\circ}
\end{align*}
$$
## Step2: Find the measure of one interior angle
Since the polygon is regular, all interior angles are equal. The measure of one interior angle $A=\frac{S}{n}$, with $S = 7740^{\circ}$ and $n = 45$.
$$
\begin{align*}
A&=\frac{7740^{\circ}}{45}\
&=172^{\circ}
\end{align*}
$$

# Answer:
172°

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Question

Explanation:

Step1: Find the sum of interior angles

Step2: Find the measure of one interior angle

Answer: