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The measure of each angle of a polygon is $160 ∘$ . The number of its sides is?

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answer is B.

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Detailed Solution

The interior angle of a polygon of n sides is given by,

Angle = (n − 2) 180 ° n 160 ° = (n − 2) 180 ° n 160 ° n = 180 n − 360 ° 180 ° n − 160 ° n = 360 ° 20 ° n = 360 ° n = 360 ° 20 ° n = 18

Hence, the correct option is 2.

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