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9th Class Mathematics Lines and Angles Question Bank Lines and Angles

  • question_answer
    In the given figure, lines XY and MN intersect at O. If \[\angle POY={{90}^{o}}\]and a : b = 2:3, then \[\angle XON\]is equal to ____.

    A) \[{{126}^{o}}\]

    B) \[{{130}^{o}}\]

    C) \[{{90}^{o}}\]

    D)        \[{{180}^{o}}\]

    Correct Answer: A

    Solution :

    Let \[a=2x\]and \[b=3x\] Now, XOY is a straight line. \[\therefore \]\[2x+3x+{{90}^{o}}={{180}^{o}}\] \[\Rightarrow \]\[5x={{90}^{o}}\Rightarrow x={{18}^{o}}\] \[\therefore \]\[\angle XON=\angle MOP+\angle POY\] (vertically opposite angles) \[{{36}^{o}}+{{90}^{o}}={{126}^{o}}.\]


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