9th Class Mathematics Geometry Question Bank Geometry

  • question_answer
    In the given diagram CE is parallel to AD and the measures of two angles at B and C have been indicated. Then \[\angle \,\text{DAB}\] is equal to

    A) \[30{}^\circ \]                 

    B) \[35{}^\circ \]

    C) \[40{}^\circ \]  

    D)  Cannot be determined       

    Correct Answer: C

    Solution :

     Referring figure. \[\angle DFB=\angle ECB={{70}^{o}}\] \[\angle AFA={{180}^{o}}-{{70}^{o}}={{110}^{o}}\] Hence, from \[\Delta \,AFB,\] \[\angle DAB=\angle FAB\] \[={{180}^{o}}-({{30}^{o}}+\angle AFB)\] \[={{180}^{o}}-({{30}^{o}}+{{110}^{o}})\] \[={{40}^{o}}\]


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