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Question

If the sum of exterior angles of a polygon is one - ninth the sum of its interior angles, then the polygon has ___ sides.


A

20

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B

18

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C

180

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D

182

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Solution

The correct option is A

20


Let the number of sides = n

Sum of exterior angles = 360

Sum of interior angles =(n2)×180

Given,

360=19[(n2)×180]

360 = (n - 2) 20

18 = n - 2

n = 20

Hence (A)


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