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9th Class Mathematics Quadrilaterals Question Bank Quadrilateral

  • question_answer
    In the given figure, ABCD is a parallelogram in which \[\angle \mathbf{BAD}=\mathbf{7}{{\mathbf{5}}^{{}^\circ }}\] and \[\angle CBD={{60}^{{}^\circ }}\]. Then, \[\angle \mathbf{BDC}=\]?

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

    B)  \[{{75}^{{}^\circ }}\]

    C)  \[{{45}^{{}^\circ }}\]

    D)  \[{{50}^{{}^\circ }}\]

    Correct Answer: C

    Solution :

    (c): \[\angle C=\angle A={{75}^{{}^\circ }}\]       (Opposite \[\angle s\] of aligm) In \[\Delta BCD\], \[\angle CBD+\angle BCD+\angle BDC={{180}^{{}^\circ }}\] \[\angle ADB={{60}^{{}^\circ }}\]- alternate angle \[\angle ABD={{45}^{{}^\circ }}\] Then, \[\angle BDC={{45}^{{}^\circ }}\]- alternate angle                      


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