A polygon has 54 diagonals. The number of sides in the polygonis

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We can find required answer with the help of given formula ,

Number of diagonals =	n(n - 3)
	2

From question ,

54 =	n(n - 3)
	2

⇒ n(n – 3) = 108 = 12 × 9
⇒ n (n – 3) = 12 ( 12 – 3)
⇒ n = 12
Hence , Number of diagonals = 12