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6th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    Direction for question: In the adjoining figure, \[AB||CD,~\]\[l\]is a transversal,
                           
    \[8x=\]

    A) \[120{}^\circ \]                     

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

    C) \[60{}^\circ \]                       

    D)  \[90{}^\circ \]

    Correct Answer: B

    Solution :

    \[8x={{80}^{o}}\](by vertically opposite angle) Now, \[8x+z=180{}^\circ \](By co-interior Angle) \[{{80}^{o}}+z={{180}^{o}}\] \[z={{180}^{o}}-{{80}^{o}}\] \[z=100\] \[\therefore \]\[\angle z=\angle y={{100}^{o}}\](By vertically opposite Angle)


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