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

  • question_answer
    In the figure (not drawn to scale), AGB, CGD and EGF are straight lines. Find \[\angle y\].

    A)  \[{{97}^{o}}\]                    

    B)  \[{{127}^{o}}\]      

    C)         \[{{100}^{o}}\]      

    D)         \[{{117}^{o}}\]

    Correct Answer: D

    Solution :

    \[\angle CGE+\angle EGB+\angle BGD={{180}^{o}}\] (Angles on a straight line) \[\therefore \]  \[{{25}^{o}}+\angle EGB+{{38}^{o}}={{180}^{o}}\] \[\angle EGB={{180}^{o}}-({{25}^{o}}+{{38}^{o}}\text{)}={{180}^{o}}-{{63}^{o}}={{117}^{o}}\]And \[\angle y=\angle EGB\] (vertically opposite angles) \[\therefore \]   \[\angle y={{117}^{o}}\]


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