9th Class Mathematics Geometry Question Bank Geometry

  • question_answer
    The measure of an angle which is four time its supplement is

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

    B) \[144{}^\circ \]  

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

    D)        \[150{}^\circ \]

    Correct Answer: B

    Solution :

     Let the required angle be 9 \[\therefore \] Supplementary angle \[={{180}^{o}}-\theta \] \[\therefore \]  \[\theta =4\times ({{180}^{o}}-\theta )\] \[\Rightarrow \]               \[5\theta ={{720}^{o}}\] \[\therefore \]  \[\theta ={{144}^{o}}\]


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