5.1 Polygon Sum Conjecture

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What is the Polygon Sum Conjecture?

Back

The Polygon Sum Conjecture states that the sum of the interior angles of a polygon with n sides is (n - 2) × 180°.

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

Back

To calculate the sum of the interior angles of a polygon, use 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?

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

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

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

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How many sides does a polygon have if the sum of its interior angles is 720°?

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A polygon with a sum of interior angles of 720° has 5 sides (pentagon).

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What is a polygon with 6 sides called?

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A polygon with 6 sides is called a hexagon.

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What is the measure of one interior angle in a regular hexagon?

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The measure of one interior angle in a regular hexagon is 120°.

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If a polygon has 8 sides, what is the sum of its interior angles?

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The sum of the interior angles of an 8-sided polygon (octagon) is 1080°.

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What is the name of a polygon with 7 sides?

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A polygon with 7 sides is called a heptagon.

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What is the measure of one interior angle in a regular pentagon?

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The measure of one interior angle in a regular pentagon is 108°.