Respuesta :

because BD is the angle bisector, and m∠ABC=40, m∠ABD is 20. 

In case you'll need to find out x and y:
3x-1=34-2x, and 3y+6=5y-18
solve: 5x=35, x=7
2y=24, y=12
(m∠ABD=3x-1=3*7-1=20, again, the answer is in this case)