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SSC Quantitative Aptitude Quadratic Equations Question Bank Quadrilateral and Polygon (I)

  • question_answer
    If ABCD be a cyclic quadrilateral in which \[\angle A=4x{}^\circ ,\]\[\angle B=7x{}^\circ ,\]\[\angle C=5y{}^\circ ,\]\[\angle D=y{}^\circ ,\]then x : y is

    A) 3 : 4

    B) 4 : 3

    C) 5 : 4

    D) 4 : 5

    Correct Answer: B

    Solution :

    [b] In a cyclic quadrilateral Sum of opposite angles \[=\text{ }180{}^\circ \] So, \[4x+5y=7x+y=180{}^\circ \] or \[4x+5y=7x+y\] \[5y-y=7x-x,\]\[4y-3x,\]\[\frac{4}{3}=\frac{x}{y}\] or         \[\frac{x}{y}=\frac{4}{3}\] \[\therefore \]      \[x:y=4:3\]


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