What is the sum of the interior angles of a $pentagon$?

• A. $540°$
• B. $720°$
• C. $360°$
• D. $180°$

Answer: (A)

Verified step by step guidance

1. Recall the formula for the sum of the interior angles of any polygon with \(n\) sides: \(\text{Sum of interior angles} = (n - 2) \times 180^\circ\).
2. Identify the number of sides in the polygon. For a pentagon, \(n = 5\).
3. Substitute \(n = 5\) into the formula: \(\text{Sum} = (5 - 2) \times 180^\circ\).
4. Simplify the expression inside the parentheses: \$5 - 2 = 3$.
5. Multiply \$3\( by \)180^\circ$ to find the sum of the interior angles of the pentagon.