A) \[30{}^\circ \]
B) \[25{}^\circ \]
C) \[35{}^\circ \]
D) \[45{}^\circ \]
Correct Answer: B
Solution :
In\[\Delta FCG,\]\[\angle A+\angle B+\angle ACB=180{}^\circ \] [Angle sum property] \[60{}^\circ +45{}^\circ +\angle ACB=180{}^\circ \] \[\angle ACB=180{}^\circ -105{}^\circ =75{}^\circ \] In\[\Delta DCE,\]\[\angle D+\angle E+\angle DCE=180{}^\circ \] \[80{}^\circ +\angle E+75{}^\circ =180{}^\circ \] \[\angle E=180{}^\circ -155{}^\circ =25{}^\circ \]
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