Math, asked by danoshapariat8265, 8 months ago

The ratio of an exterior angle to the interior angle of a regular polygon is 2:7. The number of sides of this poygon ​

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Answered by Anonymous
1

Answer: While the ratio is 7:2 and given that interior + exterior angles = 180 deg , then (7+2)*x = 180 => x=20. It means that interior angle is 7*20= 140 deg and exterior 40 deg, which is also the central angle of the polygon. Then 360 deg : 40 deg = 9 sides.

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