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

  • question_answer
    Value of \[\angle A\] and \[\angle C\] in given triangle is

    A)  \[40{}^\circ ,\,\,20{}^\circ \]         

    B)  \[25{}^\circ ,\,\,35{}^\circ \]

    C)  \[30{}^\circ ,\,\,30{}^\circ \]         

    D)  \[45{}^\circ ,\,\,15{}^\circ \]

    Correct Answer: C

    Solution :

         \[AB=AC\]           (Given) \[\angle A=\angle C\] \[\angle A+\angle B+\angle C=180{}^\circ \] \[\angle A+\angle A+120{}^\circ =180{}^\circ \] \[2\angle A=180{}^\circ -120{}^\circ =60{}^\circ \] \[\angle A=\frac{60{}^\circ }{2}=30{}^\circ \] \[\angle A=\angle C=30{}^\circ \]   


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