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

  • question_answer
    AB and CD are two parallel lines. PQ cuts AB and CD at E and F respectively. EL is the bisector of\[\angle \mathbf{FEB}\]. If \[\angle \mathbf{LEB}=\mathbf{5}{{\mathbf{5}}^{{}^\circ }}\]; then \[\angle \mathbf{DFQ}\] is equal to

    A)  \[{{110}^{{}^\circ }}\]    

    B)  \[{{100}^{{}^\circ }}\]

    C)  \[{{115}^{{}^\circ }}\]                                  

    D)  \[{{105}^{{}^\circ }}\]

    Correct Answer: A

    Solution :

    (a): \[\angle LEB={{55}^{{}^\circ }}\] \[\angle FEB=2\times \angle LEB={{110}^{{}^\circ }}\] \[\angle DFQ=\angle FEB\] \[\angle DFQ={{110}^{{}^\circ }}\]                            


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