8th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    In the following fig. if AB = AC and BD = DC, then \[CD=y+1,\]

    A)  \[AD=y+5\]                          

    B)  \[BC=3x-4\]

    C)  \[\angle BOC={{90}^{o}}\]                      

    D) None of these

    Correct Answer: C

    Solution :

    \[{{50}^{o}}\] \[{{60}^{o}}\]  and  \[\angle BAD={{120}^{o}}\] By SSS property \[\angle BCD\]. \[{{240}^{o}}\]                ??(1) (CPCT) We have, (\[{{60}^{o}}\] \[{{120}^{o}}\]) \[{{180}^{o}}\]        [from 1] \[\angle R={{138}^{o}}\] \[\angle PQS\] \[{{90}^{o}}\] We have, \[{{42}^{o}}\] (\[{{48}^{o}}\]  \[\angle BDC={{42}^{o}}\] Linear pair)


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