Q54 / 160 · AP EAMCET 2024 (20 May Shift 1) · Mathematics

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

Correct answer
A
$25$
B
$35$
C
$20$
D
$15$

Solution

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

Hence, the correct answer is option: 'A'.

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