The present disclosure relates to a fastening system for fastening a first component on a second component, wherein the first component has a first bearing surface and a first direction of extent, and the second component has a second bearing surface and a second direction of extent, and an included angle between the first direction of extent and the second direction of extent is adjustable steplessly within an angle range. The fastening system has a clamp element with which the first component can be fastened on the second component when the first bearing surface lies on the second bearing surface, and, in the fastened state of the two components, at least one force-transmitting element is clamped between the two bearing surfaces.