Application of DerivativeMedium
Question
The interior angles of a convex polygon are in AP. The smallest angle is 120o & the common difference is 5o . Find the number of sides of the polygon-
Options
A.9
B.16
C.12
D.none of these
Solution
Sum of interior angles of a n sided polygon
= (n -2) × 180
=
[240 + (n - 1)5] ⇒ n 9,16
n = 16 is to be rejected.
(T16 = 120o + 15 × 5o = 195o > 180o)
= (n -2) × 180
=
[240 + (n - 1)5] ⇒ n 9,16n = 16 is to be rejected.
(T16 = 120o + 15 × 5o = 195o > 180o)
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