24. what is the sum of the interior angles of a pentagon?
a. 180 degrees
b. 540 degrees
c. 360 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 a polygon is $S=(n - 2)\times180^{\circ}$, where $n$ is the number of sides of the polygon.
## Step2: Determine the value of $n$ for a pentagon
A pentagon has $n = 5$ sides.
## Step3: Substitute $n = 5$ into the formula
$$
\begin{align*}
S&=(5 - 2)\times180^{\circ}\
&=3\times180^{\circ}\
&= 540^{\circ}
\end{align*}
$$

# Answer:
B. 540 degrees

Sovi.AI - AI Math Tutor

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: