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9th Class Mathematics Triangles Question Bank Triangle

  • question_answer
    In the given figure below, Let O be the orthocentre of the triangle ABC., If \[\angle \mathbf{BOC}=\mathbf{14}{{\mathbf{0}}^{{}^\circ }}\], Then \[\angle \mathbf{BAC}\] is

    A)  \[{{40}^{{}^\circ }}\]  

    B)  \[{{50}^{{}^\circ }}\]

    C)  \[{{90}^{{}^\circ }}\]                                   

    D)  \[{{120}^{{}^\circ }}\]

    Correct Answer: A

    Solution :

    (a): O \[\Rightarrow \] Ortho - centre \[\angle BOC={{140}^{{}^\circ }}\] \[\angle BAC={{180}^{{}^\circ }}-\angle A\] \[\Rightarrow \]\[\angle BAC={{180}^{{}^\circ }}-{{140}^{{}^\circ }}={{40}^{{}^\circ }}\]                        


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