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

  • question_answer
    If \[\angle 1=\angle 2,\] then value of y is

    A)  \[45{}^\circ \]                                  

    B)  \[60{}^\circ \]

    C)  \[22.5{}^\circ \]             

    D)  \[12.5{}^\circ \]

    Correct Answer: C

    Solution :

         \[\angle 1=\angle 2\] \[4x=60{}^\circ \Rightarrow x=15{}^\circ \] \[\angle 1=\angle 4\] (Opposite angles) \[4x=x+2y\] \[3x=2y\] \[y=\frac{3x}{2}=\frac{3\times 15{}^\circ }{2}=\frac{45{}^\circ }{2}=22.5{}^\circ \]       


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