Find the number of sides in a polygon if the sum of its interior angles is $1620^{\circ}$ .

18

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9

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11

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7

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Solution

The correct option is D $11$
If the sum of its interior angles is $1620^{o}$
Sum of interior angles of a polygon = $180^{o} (n - 2)$
=> $180^{o} (n - 2) = 1620^{o}$
=> $(n - 2) = 9$
=> $n = 11$
Number of sides in polygon $= 11$

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