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Question

If the sum of the interior angles of a regular polygon is five times the sum of its exterior angles, then the number of sides it has is


A

14

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B

12

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C

11

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D

10

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Solution

The correct option is B

12


Sum of interior angles of a polygon = (n2)×1800

Sum of exterior angles of a polygon = 3600

Given that,

(n2)×1800=5×3600

(n2)=5×36001800

(n2)=10

n=12


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