A nice way to beat any mazy of this genre is to, as you enter it, follow one of the two lines which define your passageway and never let go off it untill you reach the exit. On this case you could either follow the floor or the ceiling. Kind of hard to explain, but I think it does always work (unless the exit is in the center of the maze, which is not the case, or it is a 3D maze).
EDIT: Here is an example with a simple maze: you see, as you entered it, you would hold on to the red wall and by following it, you would eventually get to the exit. You could also have picked the other wall, which would, houwever have taken much more time, in this case.
