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9th Class Mathematics Lines and Angles Question Bank Lines and Angles

  • question_answer
    In a\[\Delta ABC\], if \[2\angle A=3\angle B=6\angle C\]\[,\] find the measures of\[\angle A,\,\,\angle B\]and\[\angle C\].

    A) \[{{30}^{o}},\,\,{{60}^{o}},\,\,{{90}^{o}}\]            

    B) \[{{90}^{o}},\,\,{{60}^{o}},\,\,{{30}^{o}}\]

    C)        \[{{30}^{o}},\,\,{{90}^{o}},\,\,{{60}^{o}}\]

    D)        \[{{45}^{o}},\,\,{{90}^{o}},\,\,{{45}^{o}}\]

    Correct Answer: B

    Solution :

    \[\angle A:\angle B:\angle C=\frac{1}{2}:\frac{1}{3}:\frac{1}{6}\] \[\Rightarrow \]\[\angle A:\angle B:\angle C=3:2:1\] \[\therefore \]\[\angle A={{90}^{o}},\angle B={{60}^{o}},\angle C={{30}^{o}}\]


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