In the diagram angle DAF = 10 degrees, angle FAB = 60 degrees, angle FBA = 30 degrees and EBF = 40 degrees. Find the value of a to the nearest degree.

I've found out a number of other angles - angle BEA = 50 degrees, angle BCA equals 40 degrees, angle BFA equals 90 degrees, angle FDA equals 80 degrees - but I can't seem to be getting closer to finding the answer.

Help please?