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

  • question_answer
    In the figure (not drawn to scale), ABC and DEF are two triangles, CA is parallel to FD and CFBE is a straight line. Find the value of\[x+y\].

    A)  \[{{185}^{o}}\]                  

    B)  \[{{134}^{o}}\]      

    C)         \[{{148}^{o}}\]      

    D)         \[{{176}^{o}}\]                  

    Correct Answer: A

    Solution :

    \[\angle FCA=\angle BFD\] (Corresponding angles) \[\Rightarrow \]     \[x={{51}^{o}}\] Now,  in \[\Delta ABC\] \[y={{51}^{o}}+{{83}^{o}}\] (Exterior angle property) \[\Rightarrow \]   \[y={{134}^{o}}\] So,   \[x+y={{51}^{o}}+{{134}^{o}}={{185}^{o}}\]


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