7th Class Mathematics The Triangle and its Properties Question Bank Triangles

  • question_answer
    Find the measure of x in the following figure.

    A)                  \[{{112}^{o}}\]  

    B)                         \[{{56}^{o}}\]

    C)                  \[{{68}^{o}}\]                   

    D)         \[{{106}^{o}}\]

    Correct Answer: A

    Solution :

     \[XW||YZ\] \[\Rightarrow \]               \[\angle YWX=\angle ZYW={{28}^{o}}\] \[\Rightarrow \]               \[x={{180}^{o}}-({{40}^{o}}+{{28}^{o}})\]                 \[={{180}^{o}}-{{68}^{o}}={{112}^{o}}\]


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