As shown in the figure, in the quadrilateral ABCD, e and F are the intersection points of two groups of opposite extension lines respectively. Eg and FG divide ∠ BEC and ∠ DFC equally. If ∠ ADC = 60 ° and ∠ ABC = 80 °, then the size of ∠ EGF is () A. 140°B. 130°C. 120°D. 110°

As shown in the figure, in the quadrilateral ABCD, e and F are the intersection points of two groups of opposite extension lines respectively. Eg and FG divide ∠ BEC and ∠ DFC equally. If ∠ ADC = 60 ° and ∠ ABC = 80 °, then the size of ∠ EGF is () A. 140°B. 130°C. 120°D. 110°

As shown in the right figure, ∵ 1 = 60 °- ∠ AED, ∵ Fab = 80 °- ∠ AFB, ∵ 2 ∵ 4 = 360 °- ∠ 1 - ∠ Fab = 360 ° - (60 °- ∠ AED) - (80 °- ∠ AFB) = 220 ° + ∠ AED + ∠ AFB, ∵ 4 = 110 ° + 12 ∠ AED + 12 ∠ AFB, ∵ 2 = 60 ° - 12 ∠ AEC, ∵ 3 = 8