3 town abc are such that the distance A and B is 50km and distance between A and C is 90km if the bearing of B from A is 075 degree and the bearing C from A is 310 degree find the distance between B and C and bearing of C from B

after making my sketch, I had triangle ABC, with angle A = (50+75)° or 125°

BC^2 = 50^2 + 90^2 - 2(50)(90)cos 125°
= ...
BC = √...... = .....

You can then use the sine law to find angle B, and with your bearing
marked on your sketch, you can find the bearing you want.