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

  • question_answer
    Three angles of a quadrilateral are \[80{}^\circ ,\] \[95{}^\circ \] and \[112{}^\circ .\]Its fourth angle is

    A) \[78{}^\circ \]

    B) \[73{}^\circ \]

    C) \[85{}^\circ \]

    D) \[100{}^\circ \]

    Correct Answer: B

    Solution :

    [b] Then, \[80{}^\circ +95{}^\circ +112{}^\circ +x=360{}^\circ \] \[\Rightarrow \]               \[287{}^\circ +x=360{}^\circ \] \[\Rightarrow \]   \[x=(360{}^\circ -287{}^\circ )=73{}^\circ \]


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