For a pentagon, the sum of interior angles is 540 degrees.

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Multiple Choice

For a pentagon, the sum of interior angles is 540 degrees.

The sum of interior angles in any polygon depends on the number of sides: it equals (n − 2) × 180 degrees. A pentagon has 5 sides, so its interior angles sum to (5 − 2) × 180 = 540 degrees. You can see this by drawing diagonals from one vertex to divide the pentagon into three triangles; each triangle contributes 180 degrees, giving 3 × 180 = 540. The other numbers correspond to shapes with different numbers of sides: 360 is for a quadrilateral, 180 is for a triangle, and 720 would be for a hexagon.

The sum of interior angles in any polygon depends on the number of sides: it equals (n − 2) × 180 degrees. A pentagon has 5 sides, so its interior angles sum to (5 − 2) × 180 = 540 degrees. You can see this by drawing diagonals from one vertex to divide the pentagon into three triangles; each triangle contributes 180 degrees, giving 3 × 180 = 540. The other numbers correspond to shapes with different numbers of sides: 360 is for a quadrilateral, 180 is for a triangle, and 720 would be for a hexagon.

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