A system for supporting the non-driven wheel of a bicycle, in which the driven wheel of the bicycle is engaged with a stationary bicycle trainer. The system contemplates a support member that is configured for engagement with a supporting surface, and which includes wheel engagement structure for supporting the non-driven wheel above the supporting surface. A pair of support members are engaged together in different orientations, to raise the elevation of the wheel engagement structure of the upper support member above the supporting surface and to enable the user to adjust the angle of the bicycle.