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

  • question_answer
    If\[AB\parallel CD\]and\[BC\parallel DC\]then\[\angle a+\angle b\]is equal to

    A)  \[110{}^\circ \]             

    B)  \[120{}^\circ \]

    C)  \[100{}^\circ \]                                

    D)  \[115{}^\circ \]

    Correct Answer: A

    Solution :

         \[AB|\,\,|CD\] and \[AC\] is transversal \[\angle a=\angle ACD\] {Alternate interior angles} \[AC|\,\,|DE\] and \[CD\] is transversal {alternate interior angles} \[\angle a+\angle b=\angle ACD+\angle ACD=2\angle ACD\] \[\angle ACD=360{}^\circ -325=55{}^\circ \] \[\angle a+\angle b=2\,(55{}^\circ )=110{}^\circ \]         


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