Math, asked by chauhanarti2232, 9 months ago

A polygon has 27 diagonals.What is the no. of sides of the polygon?

Answers

Answered by azizalasha

4

Answer:

9

Step-by-step explanation:

The number of diagonals in a polygon = n(n-3)/2 = 27

n(n-3) = 54

n²-3n - 54 = 0

(n - 9)(n+6) = 0

n = 9

sides = 9

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