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

  • question_answer
    In the given figure, find the value of \[\angle EOD.\]

    A)  \[{{25}^{o}}\]

    B)         \[{{70}^{o}}\]

    C)  \[{{80}^{o}}\]

    D)         \[{{90}^{o}}\]

    Correct Answer: D

    Solution :

    We know that, angle made on the straight lines is\[{{180}^{o}}.\] \[\therefore \]\[2x+3x+x={{180}^{o}}\Rightarrow 6x={{180}^{o}}\Rightarrow x={{30}^{o}}\] \[\therefore \]\[\angle AOB=3x={{90}^{o}}\] As, \[\angle LOD=\angle AOB\](vertically opposite angles) \[\therefore \]\[\angle LOD={{90}^{o}}\]


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