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Question

An exterior angle and an interior angle of a regular polygon are in the ratio 2:7. Find the number of sides in the polygon.

A
2
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B
7
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C
9
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D
18
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Solution

The correct option is D 9
Exterior angle =360n (n is number of sides of a polygon)
Interior angle =(n2)180n

27=360(n2)180

n2=7

n=9

Hence, the number of sides in the polygon is 9.

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