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6th Class Mathematics Practical Geometry Question Bank Practical Geometry

  • question_answer
    If \[\angle \text{ABC=60 }\!\!{}^\circ\!\!\text{ }\] and \[\angle \text{ABX=30 }\!\!{}^\circ\!\!\text{ }\], in what ratio does \[\overrightarrow{\text{BX}}\] divide\[\angle \text{ABC}\]?

    A) 1:2                                         

    B) 1:1  

    C) 2:1                                         

    D) 1:3

    Correct Answer: B

    Solution :

    \[\angle \text{ABC=60 }\!\!{}^\circ\!\!\text{ }\] and \[\angle \text{ABX = 30 }\!\!{}^\circ\!\!\text{ }\] \[\Rightarrow \overrightarrow{\text{BX}}\] is the bisector of \[\angle \text{ABC}\] \[\Rightarrow \overrightarrow{\text{BX}}\] divides \[\angle \text{ABC}\] in the ratio 1:1.


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