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9th Class Mathematics Lines and Angles Question Bank Lines and angles

  • question_answer
    P and Q are points on the opposite sides of a straight line AB. If O is a point on AB such that\[\angle \mathbf{AOP}=\angle \mathbf{BOQ}\], then which one of the following is correct?

    A)  \[\angle AOQ<\angle BOP\]       

    B)  \[\angle AOQ>\angle BOP\]

    C)  \[\angle AOP={{180}^{{}^\circ }}-\angle AOQ\]       

    D)  \[\angle AOP={{90}^{{}^\circ }}-\angle AOQ\]

    Correct Answer: C

    Solution :

    (c): Here, as given \[\angle AOP=\angle BOQ\] POQ is a straight line. So \[\angle AOP+\angle AOQ={{180}^{{}^\circ }}\] \[\angle AOP={{180}^{{}^\circ }}-\angle AOQ\] 


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