The sum of the interior angles of a pentagon is

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Multiple Choice

The sum of the interior angles of a pentagon is

Explanation:
The sum of interior angles of any simple polygon with n sides is (n−2)×180 degrees. For a pentagon, n is five, so the total is (5−2)×180 = 3×180 = 540 degrees. This works because you can divide a pentagon into three triangles by drawing diagonals from one vertex, and each triangle contributes 180 degrees, giving 3×180 = 540 in total. The other numbers correspond to polygons with different numbers of sides: 360 for a four-sided shape, 720 for a six-sided shape, and 900 for a seven-sided shape.

The sum of interior angles of any simple polygon with n sides is (n−2)×180 degrees. For a pentagon, n is five, so the total is (5−2)×180 = 3×180 = 540 degrees.

This works because you can divide a pentagon into three triangles by drawing diagonals from one vertex, and each triangle contributes 180 degrees, giving 3×180 = 540 in total. The other numbers correspond to polygons with different numbers of sides: 360 for a four-sided shape, 720 for a six-sided shape, and 900 for a seven-sided shape.

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