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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-2

  • question_answer
    In the given figure,\[ABCD\] is a square. A line segment \[DX\]cuts the side\[BC\]at\[X\]and the diagonal\[AC\]at\[O\]such that \[\angle COD={{105}^{o}}\]and\[\angle OXC=x\]. The value of\[x\]is:

    A) \[{{40}^{o}}\]

    B) \[{{60}^{o}}\]  

    C) \[{{80}^{o}}\]

    D) \[{{85}^{o}}\]

    Correct Answer: B

    Solution :

    \[\angle OCX={{45}^{o}}\] \[\angle COD+\angle COX={{180}^{o}}\] \[\Rightarrow \]\[\angle COX={{180}^{o}}-\angle COD={{180}^{o}}-{{105}^{o}}={{75}^{o}}\] In\[\Delta OCX\]             \[\angle OCX+\angle COX+\angle OXC={{180}^{o}}\] \[\Rightarrow \]   \[{{45}^{o}}+{{75}^{o}}+\angle OXC={{180}^{o}}\] \[\Rightarrow \]   \[\angle OXC={{180}^{o}}-{{120}^{o}}={{60}^{o}}\] \[\Rightarrow \]   \[x={{60}^{o}}\]


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