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

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To find the sum of the interior angles of a polygon, you can use the formula ( (n - 2) \times 180 ), where ( n ) is the number of sides in the polygon. For a pentagon, which has 5 sides, you substitute 5 into the formula:

[

(5 - 2) \times 180 = 3 \times 180

]

Calculating this gives:

[

3 \times 180 = 540 \text{ degrees}

]

Therefore, the sum of the interior angles of a pentagon is 540 degrees. This makes the correct answer valid and aligned with the calculation derived from the formula.

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