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

  • question_answer
    Find the value of x.

    A)                  \[{{106}^{o}}\]

    B)                         \[{{53}^{o}}\]

    C)                  \[{{26}^{o}}\]                     

    D)         \[{{52}^{o}}\]

    Correct Answer: C

    Solution :

     In \[\Delta ABC,\] \[\angle ACB=\angle {{180}^{o}}-\] \[({{35}^{o}}+{{39}^{o}})={{180}^{o}}-{{74}^{o}}={{106}^{o}}\] AE and BD intersect at C \[\Rightarrow \]  \[\angle DCE=\angle ACB={{106}^{o}}\] (Vertically opposite angles) \[\Rightarrow \] \[x={{180}^{o}}-({{106}^{o}}+{{48}^{o}})={{26}^{o}}\]


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