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

  • question_answer
    If\[\angle 2=(3x-10){}^\circ \]and\[\angle 8=(5x-30){}^\circ ,\]then\[\angle 2\] and\[\angle 8\] are

    A)  \[100{}^\circ ,\,\,100{}^\circ \]                  

    B)  \[20{}^\circ ,\,\,20{}^\circ \]

    C)  \[40{}^\circ ,\,\,90{}^\circ \]         

    D)  \[60{}^\circ ,\,\,60{}^\circ \]

    Correct Answer: B

    Solution :

         \[\angle 2=\angle 4\] (opposite angles) \[\angle 4=\angle 6\] (alternate interior angles) \[\angle 6=\angle 8\] (opposite angles) by comparing \[\angle 2=\angle 8\] \[3x-10=5x-30{}^\circ \] \[2x=20{}^\circ \] \[x=10{}^\circ \] \[\angle 2=3\times 10{}^\circ -10{}^\circ =20{}^\circ \] \[\angle 2=\angle 8=20{}^\circ \]


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