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9th Class Mathematics Circles Question Bank Circles

  • question_answer
    ABCD is a cyclic quadrilateral. If\[\angle BCX={{70}^{o}}\]and \[\angle ADX={{80}^{o}}\]then find the values of\[x\]and y respectively.

    A) \[{{70}^{o}},\,\,{{80}^{o}}\]

    B)        \[{{70}^{o}},\,\,{{70}^{o}}\]

    C)        \[{{80}^{o}},\,\,{{80}^{o}}\]

    D)         None of these               

    Correct Answer: A

    Solution :

    It is given at ABCD is a cyclic quadrilateral, We know that exterior angle of a cyclic quadrilateral is equal to interior opposite angle. \[\therefore \]\[\angle BCX=x={{70}^{o}}\] Also, \[\angle ADX=y={{80}^{o}}\]


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