9th Class Mathematics Quadrilaterals Question Bank Quadrilateral

  • question_answer
    In the adjoining figure, the value of x and y are:

    A)  \[{{5}^{{}^\circ }},{{4}^{{}^\circ }}\]

    B)  \[{{3}^{{}^\circ }},{{4}^{{}^\circ }}\]

    C)  \[{{2}^{{}^\circ }},{{1}^{{}^\circ }}\]                   

    D)  None of these

    Correct Answer: A

    Solution :

    (a):  \[\angle ADB=\angle DBC\] \[\Rightarrow \] \[{{28}^{{}^\circ }}=7y\] \[=y=\frac{{{28}^{{}^\circ }}}{{{7}^{{}^\circ }}}{{4}^{{}^\circ }}\] Also, \[\angle ABD=\angle BDC\] \[\angle 12x={{60}^{{}^\circ }}\Rightarrow x=\frac{{{60}^{{}^\circ }}}{{{12}^{{}^\circ }}}\] \[\Rightarrow \]\[x={{5}^{{}^\circ }}\]             


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