7th Class Mathematics The Triangle and its Properties Question Bank Properties of Triangle

  • question_answer
    The given figure shows two parallel lines AB and CD, which are intersected by transversal PQ at L and M. LD is also joined as shown. What is the value of x in the given figure?

    A)  \[63{}^\circ \]                          

    B)  \[58{}^\circ \]           

    C)  \[70{}^\circ \]           

    D)  \[85{}^\circ \]

    Correct Answer: C

    Solution :

    (c): \[\angle LNM=70{}^\circ =NLB\] (alternate \[\angle les\]) Now, \[\angle x+\angle NLB+40{}^\circ =180{}^\circ \]             \[\Rightarrow \,\angle x=180{}^\circ -40{}^\circ -70{}^\circ =70{}^\circ \]    


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