8th Class Mathematics Understanding Quadrilaterals Question Bank Quadrilaterals

  • question_answer
    In figure, abcd is a quadrilateral in which \[AB\parallel CD\] find x and y.

    A)  \[{{100}^{{}^\circ }},{{60}^{{}^\circ }}\]  

    B)  \[{{90}^{{}^\circ }},{{50}^{{}^\circ }}\]

    C)  \[{{110}^{{}^\circ }},{{70}^{{}^\circ }}\]               

    D)  \[{{120}^{{}^\circ }},{{60}^{{}^\circ }}\]

    Correct Answer: A

    Solution :

    (a): \[AB\parallel CD\] \[\Rightarrow x={{100}^{{}^\circ }}\left( alternate\angle s \right)\] \[\angle y+{{120}^{{}^\circ }}={{180}^{{}^\circ }}\] (interior angle sum) \[\Rightarrow y={{60}^{{}^\circ }}.\]


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