A $14$ -sided regular polygon has how many diagonals?

14

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28

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77

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154

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182

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Solution

The correct option is B $77$
the number of diagonals a regular $n$ -sided polygon has is $n (n - 3) / 2$
therefore a $14$ -sided regular polygon has $14 (11) / 2 = 77$ diagonals

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