Polygon Angle Sum Theorem

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What is the Polygon Angle Sum Theorem?

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The Polygon Angle Sum Theorem 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 exterior angles of any polygon?

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The sum of the exterior angles of any polygon is always 360°.

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What is the formula to find one exterior angle in a regular polygon?

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The formula to find one exterior angle in a regular polygon is 360/n, where n is the number of sides.

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What is the measure of one exterior angle of a regular pentagon?

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One exterior angle of a regular pentagon is 72°.

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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 (8-2) × 180° = 1080°.

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

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One interior angle of a regular hexagon is 120°.

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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 8 sides (octagon).

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What is the relationship between interior and exterior angles of a polygon?

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The interior and exterior angles of a polygon are supplementary, meaning they add up to 180°.

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Find the measure of one exterior angle of a regular decagon.

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One exterior angle of a regular decagon is 36°.

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

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The sum of the exterior angles of a pentagon is 360°.