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6th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    The measure of an angle is \[\frac{4}{5}\] times its supplement. Find the angle.

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

    B)           \[80{}^\circ \]

    C) \[110{}^\circ \]                     

    D)           \[70{}^\circ \]

    Correct Answer: B

    Solution :

         Let the angle be x then supplementary angle = 180 - x Given \[x=\frac{4}{5}(180-x)\] \[5x=4(180-x)\] \[5x=720\,-4x\] \[5x+4x=720\] \[9x=720\] \[x=\frac{720}{9}={{80}^{\text{o}}}\]


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