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9th Class Mathematics Geometry Question Bank Geometry

  • question_answer
    If an angle is eight times its complementary angle, then the measurement of the angle is

    A) \[10{}^\circ \]                   

    B)        \[20{}^\circ \]

    C)  \[80{}^\circ \]                    

    D)        \[160{}^\circ \]

    Correct Answer: C

    Solution :

     If the angle is \[{{x}^{o}},\] then by hypothesis \[{{x}^{o}}=8({{90}^{o}}-{{x}^{o}})\] \[=720-8{{x}^{o}}\] or            \[9{{x}^{o}}={{720}^{o}}\] \[\therefore \]  \[x={{80}^{o}}\]


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