1) only ∠DAC=x, then ∠ADB=2x, impossible =x, only.
∠BAD=x,2x+x+x=4x= 180,x = 45
2) or ∠CDA=∠CAD=y, then ∠BAD=y-x, then y-x=x,
Y-x+y+2x = 2y+x = 180,x = 36。