9th Class Mathematics Geometry Question Bank Geometry

  • question_answer
    If the difference of two supplementary angles is \[40{}^\circ \], then the measurement of the greater angle is

    A) \[65{}^\circ \]

    B)        \[110{}^\circ \]  

    C) \[130{}^\circ \]

    D)        \[220{}^\circ \]

    Correct Answer: B

    Solution :

      Let the two supplementary angles are \[{{x}^{o}}\] and              \[{{180}^{o}}-x\] By hypothesis,  \[x-({{180}^{o}}-x)={{40}^{o}}\] or            \[2x-{{180}^{o}}={{40}^{o}}\] or           \[2x={{220}^{o}}\]  or           \[x={{110}^{o}}\]


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