Best effort after a few minutes of thought:
[spoiler]I believe the bike was traveling toward the left.
The front wheel of the bike can turn and steers, while the rear is fixed. If you were to plot the direction of travel of each wheel, the front leads the rear.
During a turn, the leading wheel also deviates farther than the rear wheel. The outside path is the front wheel.
Because the front wheel leads and deviates farther in a turn than the rear wheel, the two paths are closer to tangential at the start of a turn (as at right here), and closer to normal to each other at the conclusion of the turn (as at left here). The bike traveled to the left.
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