Angle BAD=360-(75+120+85)=80 degrees. Triangle BCD is isosceles with BCD=120 deg and BC=CD=60.
BD=2*60sin60=60sqrt(3)m=103.92m. Angle DBC=CDB=30 degrees.
Angle ABD=ABC-DBC=75-30=45 and angle BDA=CDA-CDB=85-30=55.
AB/sin55=AD/sin75=BD/sin80=60sqrt(3) (Sine Rule).
AB=60sqrt(3)sin55=85.13m; AD=60sqrt(3)sin75=100.38m.
BD (through A) =AB+AD=60sqrt(3)(sin55+sin75)=185.51m.