how many interior angles does a 13 - gon have?

Question

Accepted Answer

# Explanation:
## Step1: Recall the formula for the sum of interior angles
The formula for the sum of interior angles of an $n -$sided polygon is $(n - 2)\times180^{\circ}$. Here $n=13$ (since it is a 13 - gon).
## Step2: Substitute $n = 13$ into the formula
$$
\begin{align*}
S&=(n - 2)\times180^{\circ}\
&=(13- 2)\times180^{\circ}\
&=11\times180^{\circ}\
&=1980^{\circ}
\end{align*}
$$

# Answer:
$1980^{\circ}$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the formula for the sum of interior angles

Step2: Substitute \(n = 13\) into the formula

Answer: