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8th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    In the adjoining figure, it is given that \[{{65}^{o}}\] \[{{105}^{o}}\] and \[{{95}^{o}}\]. Then, \[{{85}^{o}}\] ______.                 

    A)  \[\angle A={{60}^{o}},\]                           

    B)  \[CE||BA\]

    C)  \[\angle ECD={{65}^{o}}\]                       

    D)  \[\angle ACB=\]

    Correct Answer: B

    Solution :

    \[\angle DCA={{180}^{o}}\] and AC is a transversal. \[\angle EAB={{124}^{o}}\]\[\angle ABC\] (Alternate angles) \[\angle C={{40}^{o}}\] \[{{65}^{o}}\] Now \[{{105}^{o}}\] (\[{{95}^{o}}\]\[{{85}^{o}}\] form a linear pair) \[\angle A={{60}^{o}},\]


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