6th Class Mathematics Algebra Question Bank Algebra

  • question_answer
    In the given figure, magnitudes of angles \[a\]and \[b\]are respectively.

    A) \[100{}^\circ ,\,\,80{}^\circ \]         

    B) \[60{}^\circ ,\,\,\text{7}0{}^\circ \]

    C) \[40{}^\circ ,\,\,140{}^\circ \]                     

    D) \[50{}^\circ ,\,\,130{}^\circ \]

    Correct Answer: A

    Solution :

    A/Q, \[\Rightarrow \]            \[5x+4x=180{}^\circ \]         (by linear pair) \[\Rightarrow \]            \[9x=180{}^\circ \] \[\therefore \]    \[x=20{}^\circ \] \[\therefore \]    \[5x=5\times 20{}^\circ =100{}^\circ \] \[\therefore \]    \[4x=4\times 20{}^\circ =80{}^\circ \] Hence \[\angle A={{100}^{o}}\]and \[\angle B={{80}^{o}}\]


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