JEE Advanced Mathematics question

Mathematics Sequence and Series JEE Advanced

The interior angles of a convex polygon are in AP, the common difference being . If the smallest angle is then the number of sides is

(A)9Correct
(B)16
(C)7
(D)none of these

Answer: (A)

Solution

Smallest angle . Sum of interior angles of an -gon :

n2[2(120) + (n-1)5] = (n-2)180 ⇒ + 235n = 360n - 720 ⇒ - 25n + 144 = 0,

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Question ID VK-107778