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    Question

    A polygon has 44 diagonals. How many sides does this

    polygon have?
    A 8 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer

    Solution

    The number of diagonals for a polygon having ‘n’ sides is given by n * (n - 3)/2. ⇒ n (n - 3)/2 = 44 ⇒ n² - 3n - 88 = 0 ⇒ (n - 11) (n + 8) = 0 ⇒ n = 11

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