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Question

# if one of the interior angle of a regular polygon is found to be 98 times of one of the interior angle of a regular hexagon then the number of sides of the polygon is

A
8
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B
14
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C
12
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D
10
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Solution

## The correct option is A 8Given, one of the interior angles of a regular polygon is found to be equal to 98 times of one of the interior angles of a regular hexagon.We know the interior angle of a regular hexagon is 1200Hence, let, the interior angle of regular polygon is x0∴ According to the question,x0=98×1200=1350Now, let the number of sides of the polygon be n .Then we know,1350=(n−2)×1800⇒450n=3600⇒n=8Hence the number of sides is 8 .∴ option A is correct.

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