Question:medium

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

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Remember: $(n-2)\times180^\circ$ — a quick formula for any polygon’s interior angle sum.
Updated On: Mar 18, 2026
  • 360$^\circ$
  • 540$^\circ$
  • 720$^\circ$
  • 900$^\circ$
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The Correct Option is B

Solution and Explanation

Step 1: Understanding the Concept:
The sum of interior angles in a polygon depends on the number of sides (\(n\)).
Step 2: Key Formula or Approach:
The formula for the sum of interior angles is:
\[ \text{Sum} = (n - 2) \times 180^\circ \]
Step 3: Detailed Explanation:
A pentagon has 5 sides, so \(n = 5\).
Plugging the value into the formula:
\[ \text{Sum} = (5 - 2) \times 180^\circ \]
\[ \text{Sum} = 3 \times 180^\circ \]
\[ \text{Sum} = 540^\circ \]
Each individual interior angle in a "regular" pentagon would be \(540^\circ / 5 = 108^\circ\).
Step 4: Final Answer:
The sum of interior angles of a pentagon is 540\(^\circ\).
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