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

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Multiple Choice

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

Explanation:
The total of interior angles in a polygon depends only on how many sides it has. For any polygon with n sides, you can divide it into n−2 triangles by drawing diagonals from one vertex. Each triangle contributes 180 degrees, so the whole polygon sums to (n−2)×180 degrees. For a pentagon, n = 5, so the sum is (5−2)×180 = 3×180 = 540 degrees. This holds whether the pentagon is regular, irregular, convex, or concave.

The total of interior angles in a polygon depends only on how many sides it has. For any polygon with n sides, you can divide it into n−2 triangles by drawing diagonals from one vertex. Each triangle contributes 180 degrees, so the whole polygon sums to (n−2)×180 degrees.

For a pentagon, n = 5, so the sum is (5−2)×180 = 3×180 = 540 degrees. This holds whether the pentagon is regular, irregular, convex, or concave.

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