Find the number of sides of a polygon, if the sum of its interior angles is 1620∘
A
11
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B
9
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C
10
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D
12
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Solution
The correct option is A 11 Find number of sides
Let the number of sides of a polygon be n.
We know that,
Sum of interior angles =(n−2)×180∘
Sum of interior angles of the given polygon =1620∘ ∴1620∘=(n−2)×180∘ (n−2)=1620∘180∘ (n−2)=9 n=11