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:
For any polygon with n sides, you can split it into n−2 triangles, and each triangle has interior angles that add to 180 degrees. A pentagon has 5 sides, so you can divide it into three triangles. Three times 180 degrees is 540 degrees, so the sum of the interior angles is 540 degrees. For context, 360 degrees comes from a four-sided figure, 720 from a six-sided figure, and 180 from a triangle.

For any polygon with n sides, you can split it into n−2 triangles, and each triangle has interior angles that add to 180 degrees. A pentagon has 5 sides, so you can divide it into three triangles. Three times 180 degrees is 540 degrees, so the sum of the interior angles is 540 degrees.

For context, 360 degrees comes from a four-sided figure, 720 from a six-sided figure, and 180 from a triangle.

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