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8th Class Mathematics Understanding Quadrilaterals Question Bank Understanding Quadrilaterals

  • question_answer
    In the given figure, the value of \[x\] is___.

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

    B)  \[140{}^\circ \]

    C)  \[\text{160 }\!\!{}^\circ\!\!\text{ }\]

    D)  \[\text{130 }\!\!{}^\circ\!\!\text{ }\]

    Correct Answer: B

    Solution :

    In the given figure, \[\angle DAB=90{}^\circ \] Now, in quadrilateral ABCD. we have \[\angle DAB+\angle ABC+\angle BCO+\angle CDA=360{}^\circ \] \[\Rightarrow 90{}^\circ +60{}^\circ +70{}^\circ +x=360{}^\circ \] \[\Rightarrow x=360{}^\circ -220{}^\circ =140{}^\circ \]


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