A regular polygon has 23 vertices and consequently 23 sides. The number of additional lines need to be drawn so that every pair of vertices will be connected is

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A regular polygon has 23 vertices and consequently 23 sides. The number of additional lines need to be drawn so that every pair of vertices will be connected is

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230

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answer is B.

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Detailed Solution

No of sides of polygon = 23

No of additional lines required to convert all vertices $= \frac{n (n - 3)}{2} = \frac{23 (23 - 3)}{2} = 230$

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