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

  • question_answer
    In the given figure, AB and CD are straight lines. Find\[\angle y.\].           

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

    B)  \[{{27}^{o}}\]                 

    C)                    \[{{77}^{o}}\]        

    D)         \[{{55}^{o}}\]                    

    Correct Answer: B

    Solution :

    Since, CD is a straight line. \[\therefore \]  \[{{40}^{o}}+{{35}^{o}}+\angle BOC={{180}^{o}}\] \[\Rightarrow \]    \[\angle BOC={{180}^{o}}-{{75}^{o}}={{105}^{o}}\] Now, AB is a straight line. \[\therefore \]  \[\angle BOC+\angle y+{{48}^{o}}={{180}^{o}}\] \[\therefore \]  \[\angle y={{180}^{o}}-({{105}^{o}}+{{48}^{o}})={{27}^{o}}\]


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