9th Class Mathematics Quadrilaterals Question Bank Quadrilateral

  • question_answer
    In given figure, ABCD is a rhombus. If \[\angle OAB={{35}^{{}^\circ }}\], Then the value of x is

    A)  \[{{25}^{{}^\circ }}\]                       

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

    C)  \[{{55}^{{}^\circ }}\]   

    D)  \[{{70}^{{}^\circ }}\]

    Correct Answer: C

    Solution :

    (c):   In \[\Delta AOB\] \[\angle OBA+\angle OAB+\angle AOB={{180}^{{}^\circ }}\] \[x+{{35}^{{}^\circ }}+{{90}^{{}^\circ }}={{180}^{{}^\circ }}\] \[x={{180}^{{}^\circ }}-{{125}^{{}^\circ }}={{55}^{{}^\circ }}\]                       


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