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

Mathematics

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Answer

C. 540∘\text{C. } 540^\circ

Step-by-step solution

2 steps

Question 37:
The sum of the interior angles of a polygon with nn sides is given by the formula:

Sum=(n−2)×180∘\text{Sum} = (n-2) \times 180^\circ

A pentagon has 5 sides, so n=5n=5.

  1. Substitute n=5n=5 into the formula.

    Sum=(5−2)×180∘\text{Sum} = (5-2) \times 180^\circ

  2. Calculate the sum.

    Sum=3×180∘\text{Sum} = 3 \times 180^\circ Sum=540∘\text{Sum} = 540^\circ

    The final answer is C. 540∘\text{C. } 540^\circ.

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