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

  • question_answer
    In the given figure (not drawn to scale), \[\angle UVT={{72}^{o}}\]and \[\angle TSZ={{53}^{o}},\]then find \[\angle XZY+\angle SXY\].                

    A)  \[{{60}^{o}}\]                     

    B)  \[{{125}^{o}}\]      

    C)         \[{{180}^{o}}\]                

    D)         None of these     

    Correct Answer: B

    Solution :

    We have given that, \[XZ||UV\]and \[ST||XY.\] Now,\[\angle UVY=\angle XZY\](Corresponding angles) \[\Rightarrow \] \[\angle XZY={{72}^{o}}\] Also,\[\angle TSZ=\angle YXS\](Corresponding angles) \[\Rightarrow \]   \[\angle YXS={{53}^{o}}\] Hence, \[\angle XZV+\angle YXS={{72}^{o}}+{{53}^{o}}={{125}^{o}}\]


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