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Q.

If the interior angles of an ‘n’ sided convex polygon are $120^{o}, 125^{o}, 130^{o}, . . . . .$ . then number of sides of the polygon, is

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a

16

b

9 or 16

c

9

d

4 or 10

answer is D.

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Detailed Solution

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$\begin{array}{l} (n - 2) 180^{\circ} = 120^{\circ} + 125^{\circ} + 130^{\circ} + . . . . . . . . . . \\ (n - 2) 180^{\circ} = \frac{n}{2} [240 + (n - 1) 5^{\circ}] \\ \Rightarrow n = 9, 16 \end{array}$

but $n \neq 16$ interior angle is $\geq 180^{o}$

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