Question

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

• A. 360$^\circ$
• B. 540$^\circ$
• C. 720$^\circ$
• D. 900$^\circ$

Hint:

Remember: $(n-2)\times180^\circ$ — a quick formula for any polygon’s interior angle sum.

Answer 1

The Correct Option is B

Concept: The sum of the interior angles of a polygon with $n$ sides is given by the formula: \[ (n - 2) \times 180^\circ \]
Step 1: Identify the number of sides.
A pentagon has $n = 5$ sides.
Step 2: Apply the formula.
\[ (5 - 2) \times 180^\circ = 3 \times 180^\circ = 540^\circ \]
Step 3: Select the correct answer.
Thus, the sum of the interior angles of a pentagon is $540^\circ$.