If a polygon of $n$ sides has 275 diagonals. then $n$ is

If a polygon of $n$ sides has 275 diagonals. then $n$ is
  1. $25$
  2. $35$
  3. $20$
  4. $15$

Solution

Let $n$ be the number of sides then Number of diagonals $=\frac{n(n-3)}{2} \Rightarrow 275=\frac{n(n-3)}{2}$ $\Rightarrow n=25$

Asked in: AP EAMCET 2024 (20 May Shift 1)

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