AB is the angle bisector of CAD. Solve for the missing variable?

Answer:
[tex]x=8^\circ[/tex]
Step-by-step explanation:
A bisector is the line that divides an angle (which in this case is [tex]\angle CAD[/tex]) exactly in half. Therefore, [tex]\angle CAB = \angle BAD[/tex] and as such we can solve for [tex]x[/tex]:
[tex]\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ[/tex]
and we are done.