6th Class Mental Ability Geometry Question Bank Geometry

  • question_answer Angles of a triangle are in the ratio of 1 : 2 : 3. Find the measurement of the largest angle.

    A) \[95{}^\circ \]                

    B)        \[94{}^\circ \]

    C) \[90{}^\circ \]   

    D)        \[100{}^\circ \]

    E) None of these

    Correct Answer: C

    Solution :

    Explanation Option [c] is correct. The ratio of the angles is \[1:2:3.\] Hence, \[x+2x+3x=180{}^\circ \] \[\Rightarrow 6x=180{}^\circ \Rightarrow x=\frac{180{}^\circ }{6}=30{}^\circ .\] Thus, the measurement of the largest angle \[=30{}^\circ \times 3=90{}^\circ .\]               

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