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

  • question_answer
    In the given figure,\[\mathbf{AB}\parallel \mathbf{DC}\] and \[\mathbf{DE}\parallel \mathbf{BF}\]. What is the value of x?

    A)  \[{{140}^{{}^\circ }}\]                      

    B)  \[{{150}^{{}^\circ }}\]

    C)  \[{{105}^{{}^\circ }}\]   

    D)  \[{{120}^{{}^\circ }}\]

    Correct Answer: C

    Solution :

    (c): \[\angle ABC={{180}^{{}^\circ }}-\left( {{35}^{{}^\circ }}+{{70}^{{}^\circ }} \right)\] \[\angle ABC={{75}^{{}^\circ }}\] And \[\angle DCF-\angle ABC={{75}^{{}^\circ }}\]  \[\therefore \]\[\angle EDC={{180}^{{}^\circ }}-\angle DCF={{105}^{{}^\circ }}\]                              


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