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

  • question_answer
    In the given figure, \[PQ||RS\] and\[EF||QS\]. If\[\angle Q={{60}^{o}}\], find the measure of\[\angle REF\].

    A) \[{{115}^{o}}\]                                  

    B) \[{{120}^{o}}\]                      

    C) \[{{60}^{o}}\]            

    D)        \[{{180}^{o}}\]

    Correct Answer: B

    Solution :

    \[\angle PQS+\angle FSQ={{180}^{o}}\] \[\Rightarrow \]\[\angle FSQ={{180}^{o}}-{{60}^{o}}\]\[\angle FSQ={{120}^{o}}\] and \[\angle RFE=\angle FSQ={{120}^{o}}\] [Corresponding angles since \[EF||QS\]]


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