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9th Class Mathematics Lines and Angles Question Bank Lines and Angles

  • question_answer
    The measure of an angle is four times the measure of its supplementary angle. Then the angle is ____.

    A) \[{{36}^{o}}\]

    B) \[{{144}^{o}}\]

    C) \[{{180}^{o}}\]

    D)        \[{{72}^{o}}\]

    Correct Answer: B

    Solution :

    Let the angle be \[x\] Then, the supplement of \[x=({{180}^{o}}-x)\] According to question, \[x=4({{180}^{o}}-x)\] \[\Rightarrow \]\[x={{720}^{o}}-4x\Rightarrow 5x={{720}^{o}}\Rightarrow x={{144}^{o}}\] \[\therefore \]The angle is \[{{144}^{o}}.\]


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