Answer:
∠FDE = 130°
Explanation:
Since BC and DE are parallel lines, then
∠BDE = ∠ABC = 110° ( corresponding angles are congruent )
The sum of the angles round a point = 360°, thus
∠BDE + ∠BDF + ∠FDE = 360 , hence
110 + 120 + x = 360
230 + x = 360 ( subtract 230 from both sides )
x = 130
Hence x = ∠FDE = 130°