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9th Class Mathematics Quadrilaterals Question Bank Quadrilaterals

  • question_answer
    In the given figure, \[AO\] and \[DO\] are the bisectors of \[\angle A\] and \[\angle D\] of the quadrilateral\[ABCD\]. Find\[\angle AOD\].

    A) \[{{67.5}^{o}}\]                     

    B) \[{{77.5}^{o}}\]         

    C)        \[{{87.5}^{o}}\]         

    D)        \[{{99.75}^{o}}\]

    Correct Answer: C

    Solution :

    \[\angle A+\angle D={{185}^{o}}\] \[\Rightarrow \]\[\frac{1}{2}\angle A+\frac{1}{2}\angle D=\frac{1}{2}({{185}^{o}})\] \[\Rightarrow \]\[\frac{1}{2}\angle A+\frac{1}{2}\angle D({{92.5}^{o}})\] From \[\Delta AOD\]


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