The sum of interior angles of a pentagon is how many degrees?

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Multiple Choice

The sum of interior angles of a pentagon is how many degrees?

Explanation:
The sum of interior angles for any polygon with n sides is (n − 2) × 180 degrees. For a pentagon, n = 5, so (5 − 2) × 180 = 3 × 180 = 540 degrees. You can also see this by dividing the pentagon from one vertex into three triangles, and each triangle contributes 180 degrees, giving 3 × 180 = 540. The other values correspond to different polygons: 180 degrees for a triangle, 360 degrees for a quadrilateral, and 720 degrees for a hexagon.

The sum of interior angles for any polygon with n sides is (n − 2) × 180 degrees. For a pentagon, n = 5, so (5 − 2) × 180 = 3 × 180 = 540 degrees. You can also see this by dividing the pentagon from one vertex into three triangles, and each triangle contributes 180 degrees, giving 3 × 180 = 540. The other values correspond to different polygons: 180 degrees for a triangle, 360 degrees for a quadrilateral, and 720 degrees for a hexagon.

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