Railways R.R.C. (Patna) Solved Paper Held on 2nd Shift 9-11-2014

  • question_answer
    The angles of a triangle are in the ratio 2:3:7. The measure of the smalllest angle is ?

    A) \[90{}^\circ \]                          

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

    C) \[45{}^\circ \]                          

    D) \[30{}^\circ \]

    Correct Answer: D

    Solution :

    The three angles of a triangle \[=2x{}^\circ ,3x{}^\circ \,\,and\,\,7x{}^\circ \] \[\therefore 2x{}^\circ +3x{}^\circ +7x{}^\circ =180{}^\circ \] \[\Rightarrow \]               \[12x{}^\circ =180{}^\circ \] \[x{}^\circ =15{}^\circ \] Then, the measure of the smallest angle \[=15{}^\circ \times 2=30{}^\circ \]


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