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

  • question_answer
    Angles of a triangle are \[(x+{{10}^{o}}),\,\,(x+{{40}^{o}})\]and \[(2x-{{30}^{o}})\]. What is the value of x?

    A)  \[{{30}^{o}}\]  

    B)         \[{{40}^{o}}\]   

    C)  \[{{20}^{o}}\]   

    D)         \[{{10}^{o}}\]

    Correct Answer: B

    Solution :

     Given that the angles of the triangle are \[(x+{{10}^{o}}),\,(x+{{40}^{o}})\] and \[(2x-{{30}^{o}})\]. Sum of the angles of a triangle \[={{180}^{o}}\] \[\Rightarrow \]\[x+{{10}^{o}}+x+{{40}^{o}}+2x-{{30}^{o}}={{180}^{o}}\] \[\Rightarrow \] \[4x={{160}^{o}}\] \[\Rightarrow \] \[x={{40}^{o}}\]


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