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7th Class Mathematics The Triangle and its Properties Question Bank Geometry

  • question_answer
    In the given figure \[\text{BA}|\,\,|\text{CE}|\,\,|\text{DE}\]. \[BCE\]  is a straight line and \[\angle DCE\] is a right angle. \[\angle BCF\] is equal to

    A)  \[150{}^\circ \]                    

    B)  \[115{}^\circ \]

    C)  \[151{}^\circ \]                                

    D)  \[105{}^\circ \]

    Correct Answer: C

    Solution :

        In \[\Delta DEC,\angle D+\angle C+\angle E=180{}^\circ \] \[\angle E=180{}^\circ -61{}^\circ -90{}^\circ =29{}^\circ \] \[\angle ABC=\angle BED=29{}^\circ \] \[\angle ABC+\angle BCF=180{}^\circ \] \[\angle BCF=180{}^\circ -29{}^\circ =151{}^\circ \]


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