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9th Class Mathematics Geometry Question Bank Geometry

  • question_answer
    Any interior angle of a regular polygon exceeds the exterior angle by 100? The number of sides of the polygon is

    A)  7                                            

    B)  8

    C)  9                              

    D)         6

    Correct Answer: C

    Solution :

      Let exterior angle of a regular polygon of n sides hex. \[\therefore \] Interior angle is \[~x+100\] \[\therefore \]   \[(x+100)+x={{180}^{o}}\] \[\therefore \]  \[x={{40}^{o}}\] \[\therefore \] Number of sides \[=\frac{360}{40}=9\]


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