9th Class Mathematics Geometry Question Bank Geometry

  • question_answer
    In the figure, \[\angle \,B\] is equal to

    A) \[85{}^\circ \] 

    B) \[95{}^\circ \]  

    C) \[70{}^\circ \]

    D) \[115{}^\circ \]             

    Correct Answer: B

    Solution :

    Since, APQD is a cyclic quadrilateral, therefore \[\angle A+\angle DQP={{180}^{o}}\] or            \[\angle DQP={{180}^{o}}-{{85}^{o}}={{95}^{o}}\] or            \[\angle PQC={{180}^{o}}-\angle DQP={{85}^{o}}\] \[\therefore \]  \[\angle B={{180}^{o}}-85=95\]


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