7th Class Mathematics Lines and Angles Question Bank Lines and Angles

  • question_answer Find the unknown angle x in the figure.

    A)  \[{{45}^{o}}\]                   

    B)         \[{{125}^{o}}\]  

    C)  \[{{90}^{o}}\]                   

    D)         \[{{80}^{o}}\]

    Correct Answer: B

    Solution :

    \[DF||CH||BG\]                 \[\Rightarrow \] \[a+b=x\] and \[a={{45}^{o}}\] (Corresponding angles) \[b={{180}^{o}}-{{100}^{o}}={{80}^{o}}\] (Angles on the same side of transversal.) \[\Rightarrow \] \[x=a+b={{45}^{o}}+{{80}^{o}}={{125}^{o}}\]

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