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How many diagonals can be drawn in a polygon of 15 sides?

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How many diagonals can be drawn in a polygon of 15 sides?

(a) 16 

(b) 60 

(c) 80 

(d) 90

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(d) 90

Number of diagonals for a n-sided closed polygon

∴ Number of diagonals for a 15–sided polygon

= \(\frac{15\times(15-3)}{2}=\frac{15\times12}{2}\) = 90.

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