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Grade: 11 
        The interior angles of polygon measure 150 degree each. The number of diagonals of the polygon is_______

(A) 35

(B) 44

(C) 54 

(D) 78

Please explain step by step.
7 years ago

Answers : (1)

View Solution
Sunil Raikwar
askIITians Faculty
45 Points 
							each interior angle of a regular polygon=(n-2).180/n
(n-2).180=150n
6n-12=5n
n=12
no. of diagonal=n(n-3)/2=12x9/2=54

Thanks & Regards
Sunil Raikwar
askIITians Faculty
5 years ago
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