DC = ed
In rectangular ABCD
AB=DC
Then AB=ED
Two right-angled triangles ABF, EDF
Diagonal ∠AFB=∠EFD
You can prove that two right-angled triangles are consistent.
That is △ ABF △ EDF.
Then FB=FD.
(2) The aforementioned evidence FB=FD
Delta delta △FBD
∠FDB=∠FBD
Outside angle ∠AFB=∠FDB+∠FBD=2∠FDB
In the right triangle AFB
ABF=50
Then < AFB = 90-50 = 40.
That is 2 ∠ FDB = 40.
So ∠ FDB = 20.