what is the measure of each interior angle in a regular 100 - gon? 176.4° 123.7° 163.5° 180°

Question

Accepted Answer

# Explanation:
## Step1: Use the formula for interior angle
The formula for the measure of an interior angle of a regular $n$ - gon is $\frac{(n - 2)\times180^{\circ}}{n}$. Here $n = 100$.
## Step2: Substitute $n = 100$ into the formula
$$
\begin{align*}
\frac{(100 - 2)\times180^{\circ}}{100}&=\frac{98\times180^{\circ}}{100}\
&=\frac{17640^{\circ}}{100}\
& = 176.4^{\circ}
\end{align*}
$$

# Answer:
$176.4^{\circ}$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Use the formula for interior angle

Step2: Substitute \(n = 100\) into the formula

Answer: