what is the sum of the interior angles of a pentagon?
a. 180 degrees
b. 360 degrees
c. 540 degrees
d. 720 degrees

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 $(n - 2)\times180^{\circ}$.
## Step2: Determine the value of $n$ for a pentagon
A pentagon has $n=5$ sides.
## Step3: Substitute $n = 5$ into the formula
$$
\begin{align*}
S&=(n - 2)\times180^{\circ}\
&=(5 - 2)\times180^{\circ}\
&=3\times180^{\circ}\
& = 540^{\circ}
\end{align*}
$$

# Answer:
C. 540 degrees

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the formula for the sum of interior angles

Step2: Determine the value of \(n\) for a pentagon

Step3: Substitute \(n = 5\) into the formula

Answer: