INTERNAL to external angle is 7: 2Interior angle = 7x and EXTERIOR angle = 2x.2x + 7x = 180° (INTERIOR angle + Exterior angle = 180°)⇒ 9x = 180⇒ X = 180/9 = 20⇒ Interior angle = 140°⇒ Exterior angle = 40°Number of sides = 360/exterior angle∴ Number of sides = 360°/40° = 9

"> INTERNAL to external angle is 7: 2Interior angle = 7x and EXTERIOR angle = 2x.2x + 7x = 180° (INTERIOR angle + Exterior angle = 180°)⇒ 9x = 180⇒ X = 180/9 = 20⇒ Interior angle = 140°⇒ Exterior angle = 40°Number of sides = 360/exterior angle∴ Number of sides = 360°/40° = 9

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In a regular polygon the ratio of an interior and an exterior angle is 7 : 2. The number of sides will be

SRMJEEE Analytical Geometry in SRMJEEE 9 months ago

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Calculation:Ratio of its INTERNAL to external angle is 7: 2Interior angle = 7x and EXTERIOR angle = 2x.2x + 7x = 180° (INTERIOR angle + Exterior angle = 180°)⇒ 9x = 180⇒ X = 180/9 = 20⇒ Interior angle = 140°⇒ Exterior angle = 40°Number of sides = 360/exterior angle∴ Number of sides = 360°/40° = 9

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