What is the sum of interior angles of a pentagon?

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What is the sum of interior angles of a pentagon?

The sum of interior angles in a polygon comes from how many triangles you can fit inside it. A pentagon can be split into three triangles by drawing diagonals from one vertex. Each triangle contributes 180 degrees, so the total is 3 × 180 = 540 degrees. More generally, for an n-sided polygon the sum is (n − 2) × 180 degrees; for a triangle that's 180, a quadrilateral 360, a hexagon 720, and so on.

The sum of interior angles in a polygon comes from how many triangles you can fit inside it. A pentagon can be split into three triangles by drawing diagonals from one vertex. Each triangle contributes 180 degrees, so the total is 3 × 180 = 540 degrees. More generally, for an n-sided polygon the sum is (n − 2) × 180 degrees; for a triangle that's 180, a quadrilateral 360, a hexagon 720, and so on.

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