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。