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

  • question_answer
    In the given figure, it is given that \[\angle A=60{}^\circ \]\[CE\parallel BA\]and\[\angle ECD=65{}^\circ .\]Then\[\angle ACB\]equals to

    A)  \[60{}^\circ \]                      

    B)  \[55{}^\circ \]

    C)  \[70{}^\circ \]                                  

    D)  \[90{}^\circ \]

    Correct Answer: B

    Solution :

         \[\text{BA}|\,\,|\text{CE}\] and \[\text{AC}\] is transversal \[\angle A=\angle ACE=60{}^\circ \] \[\angle ACB+\angle ACE+\angle ECD=180{}^\circ \] \[\angle ACB+60{}^\circ +65{}^\circ =180{}^\circ \] \[\angle ACB=180{}^\circ -125{}^\circ =55{}^\circ \]


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