9th Class Mathematics Geometry Question Bank Geometry

  • question_answer
    A polygon has 54 diagonals. The number of sides in the polygon is :

    A) 7                        

    B)        9

    C) 12    

    D)        11

    E) None of these

    Correct Answer: C

    Solution :

    Explanation Option [c] is correct. \[\frac{n\,(n-3)}{2}=54{}^\circ \Rightarrow {{n}^{2}}-3n=180{}^\circ \Rightarrow n=12\]                  


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