J & K CET Engineering J and K - CET Engineering Solved Paper-2004

  • question_answer
    If the three angles' of a quadrilateral are \[{{60}^{o}},\] \[{{80}^{o}}\] and \[\frac{5\pi }{6},\]then the fourth angle is

    A)  \[{{70}^{o}}\]

    B)  \[{{79}^{o}}\]

    C)  \[{{80}^{o}}\]

    D)  \[{{81}^{o}}\]

    Correct Answer: A

    Solution :

    Let  \[\angle A={{60}^{o}},\angle B={{80}^{o}}\] and \[\angle C={{150}^{o}}\] We know that \[\angle A+\angle B+\angle C+\angle D={{360}^{o}}\] \[\Rightarrow \] \[{{60}^{o}}+{{80}^{o}}+{{150}^{o}}+\angle D={{360}^{o}}\] \[\Rightarrow \] \[\angle D={{70}^{o}}\]


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