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9th Class Mathematics Quadrilaterals Question Bank Quadrilateral

  • question_answer
    In the given figure AE=BC and \[\mathbf{AE}\parallel \mathbf{BC}\] and the three sides AB, CD and ED are equal in length. If \[\mathbf{m}\angle \mathbf{A}=\mathbf{10}{{\mathbf{5}}^{{}^\circ }}\], find measures of \[\angle \,\mathbf{BCD}\]:

    A)  \[{{138}^{{}^\circ }}\]                      

    B)  \[{{165}^{{}^\circ }}\]

    C)  \[{{88}^{{}^\circ }}\]                       

    D)  None of these

    Correct Answer: B

    Solution :

    (b): \[\angle BCE={{105}^{{}^\circ }}\text{ }and\text{ }\angle ECD={{60}^{{}^\circ }}\] \[\therefore \]\[\angle BCD={{105}^{{}^\circ }}+{{60}^{{}^\circ }}={{165}^{{}^\circ }}\]


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