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

  • question_answer
    In the given figure,\[\mathbf{AB}\parallel \mathbf{CD}\] and \[\mathbf{EF}\parallel \mathbf{DQ}\]. The value of \[\angle \mathbf{DEF}\] is:

    A)  \[{{68}^{{}^\circ }}\]   

    B)  \[{{78}^{{}^\circ }}\]

    C)  \[{{44}^{{}^\circ }}\]                                   

    D)  \[{{100}^{{}^\circ }}\]

    Correct Answer: A

    Solution :

    (a): \[\angle AEP=\angle CDP={{44}^{{}^\circ }}\] Also, \[\angle AEP+\angle BEF+\angle DEF={{180}^{{}^\circ }}\] \[{{44}^{{}^\circ }}+{{68}^{{}^\circ }}+\angle DEF={{180}^{{}^\circ }}\Rightarrow \angle DEF={{68}^{{}^\circ }}\]                              


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