9th Class Mathematics Circles Question Bank Circles

  • question_answer
    In the given figure, O is the centre of the circle. If \[\angle POQ={{110}^{o}}\]and\[\angle POR={{120}^{o}},\] find\[\angle QPR.\]

    A) \[65{}^\circ \]                            

    B) \[55{}^\circ \] 

    C) \[50{}^\circ \]       

    D) \[60{}^\circ \]

    Correct Answer: A

    Solution :

    \[\angle QOR={{360}^{o}}-{{110}^{o}}-{{120}^{o}}={{130}^{o}}\] \[\angle QPR=\frac{1}{2}\angle QOR=\frac{1}{2}\times {{130}^{o}}={{65}^{o}}\]


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