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

  • question_answer
    From the following figure, what are the respective values of x and y?

    A)  \[{{80}^{o}},{{60}^{o}}\]        

    B)  \[{{60}^{o}},{{40}^{o}}\]

    C)  \[{{60}^{o}},{{80}^{o}}\]    

    D)  \[{{40}^{o}},{{60}^{o}}\]

    Correct Answer: A

    Solution :

     \[{{60}^{o}}\] & y are vertically opposite angles which are equal \[\Rightarrow \]  \[y={{60}^{o}}\] In the triangle, \[x+{{60}^{o}}+{{40}^{o}}={{180}^{o}}\] (Angle sum property)                 \[\Rightarrow \] \[x={{180}^{o}}-{{100}^{o}}={{80}^{o}}\]


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