7th Class Mental Ability Geometry Question Bank Geometry

  • question_answer
    In the following figure, AOB is a straight line. If OX and OY are bisector of \[\angle \]AOC and \[\angle \]BOC, then fined \[\angle \]XOY.

    A) \[95{}^\circ \]                          

    B) \[90{}^\circ \]

    C) \[98{}^\circ \]                          

    D) \[92{}^\circ \]

    E) None of these

    Correct Answer: B

    Solution :

    Explanation AOB is a straight line \[\therefore  \,\,\,\angle AOC + \angle BOC = 180{}^\circ \] \[\Rightarrow \,\,\,\,\frac{1}{2}\angle AOC+\frac{1}{2}\angle BOC=\frac{1}{2}\times 180{}^\circ \] \[\Rightarrow \,\,\,\,\,\,\,\angle \,XOC\,\,+\,\,\angle \,YOC=90{}^\circ \] \[\Rightarrow \,\,\,\,\,\,\angle \,XOY\,\,=\,\,90{}^\circ \]


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