Polygons - Sums of Interior Angles

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What is a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.

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How do you calculate the sum of the interior angles of a polygon?

Back

The sum of the interior angles of a polygon can be calculated using the formula: (n - 2) × 180°, where n is the number of sides.

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What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

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What is the sum of the interior angles of a quadrilateral?

Back

The sum of the interior angles of a quadrilateral is always 360°.

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What is the sum of the interior angles of a pentagon?

Back

The sum of the interior angles of a pentagon is 540°.

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What is the sum of the interior angles of a hexagon?

Back

The sum of the interior angles of a hexagon is 720°.

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What is the sum of the interior angles of a heptagon?

Back

The sum of the interior angles of a heptagon is 900°.

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What is the sum of the interior angles of an octagon?

Back

The sum of the interior angles of an octagon is 1080°.

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What is the sum of the interior angles of a nonagon?

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The sum of the interior angles of a nonagon is 1260°.

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What is the sum of the interior angles of a decagon?

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The sum of the interior angles of a decagon is 1440°.