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8th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    As shown in figure, ABC is a triangle inscribed in a circle with centre O. If \[\angle P={{95}^{o}}\] then \[\angle C={{40}^{o}}\]is equal to                                                                                                                            

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

    B)  \[{{105}^{o}}\]

    C)  \[{{95}^{o}}\]                                

    D)  \[{{85}^{o}}\]

    Correct Answer: B

    Solution :

    Clearly, triangle OBC is an isosceles triangle. \[(\because \,\,OB=OC)\] \[\therefore \]\[\angle OBC=\angle OCB=30{}^\circ \] \[\therefore \]\[\angle BOC=120{}^\circ \]                \[\therefore \angle A=60{}^\circ \]


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