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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.

Daxeel Soni , 13 Years ago
Grade 11
anser 1 Answers
Sunil Raikwar

Last Activity: 11 Years ago

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

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Sunil Raikwar
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