Answer:
250 degrees
Step-by-step explanation:
since ED is parallel to BC, we can say that the sum of the angles <EDC and <BCD adds up to 180 degrees (the sum of two internal angles formed between two parallel lines and a third line bisecting them is equal to 180 degrees).
Therefore, <EDC = 180 - 42 = 138 degrees.
The sum of angles in a hexagon is 720 degrees, therefore we can use that to find <FED by subtracting the sum of all known angles (all angles except for <FED) from 720.
[tex]S = 42 + 144 + 96 + 50 + 138=470\\\angle \text{EDC} = 720 - 470 = 250[/tex]
