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7th Class Mathematics Lines and Angles Question Bank Lines & Angles

  • question_answer
    In the given figure. \[PR||BD\]. What is the measure of \[\angle AQB\] in the given figure?

    A)  \[109{}^\circ \]                    

    B)  \[92{}^\circ \]          

    C)  \[112{}^\circ \]                                

    D)  \[126{}^\circ \]

    Correct Answer: A

    Solution :

    (a): \[\angle AQB=\angle PQB+\angle AQP=64{}^\circ +\angle AQP\]; \[\angle AQP=\angle RQC=180{}^\circ -135{}^\circ =45{}^\circ \] \[\therefore \,\,\angle \,AQB=64{}^\circ +45{}^\circ =109{}^\circ \]    


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