Question 1187557
my guess is 60 degrees for angle BFD.


here's why.....


triangle ADE is a right triangle.
angle ADE is 90 degrees.
angle AED is 60 degrees.
this makes angle DAE 30 degrees.


angle BCE is a right angle.
this makes angle BCA also a right angle because it is supplementary to angle BCE.
this makes triangle FAC a right triangle.
since angle DAE is 30 degrees, then angle AFC is 60 degrees.


angle BFD is vertical to angle AFC.
this makes angle BFD equal to 60 degrees because vertical angles are congruent.


here's my diagram.


<img src = "http://theo.x10hosting.com/2021/111101.jpg" >