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8th Class Mathematics Understanding Quadrilaterals Question Bank Quadrilaterals

  • question_answer
    If \[\mathbf{x}=\mathbf{y}\], then find the value of x in the trapezium ABCD given below

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

    B) \[70{}^\circ \]

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

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

    Correct Answer: C

    Solution :

    (c): In trapezium ABCD, \[AB\parallel CD\] \[x-{{20}^{{}^\circ }}+y+{{40}^{{}^\circ }}={{180}^{{}^\circ }}\] \[\Rightarrow 2x+{{20}^{{}^\circ }}={{180}^{{}^\circ }}\left( since\,x=y \right)\] \[\Rightarrow x={{80}^{{}^\circ }}\]                           


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