Described is an arrangement and system for precise angular and directional positioning of light-emitting diodes (LED). An LED component includes a base body with a light-emitting region, a first connector, and a second connector, where the connectors are electrically conductively connected to the light-emitting region. The base body includes at least two fixing regions and the connectors each include a bending portion and a contact area for surface mounting. Each of the bending portions is arranged between the base body and the contact area. A supporting frame includes a plinth region to align the supporting frame on a surface and includes an outwardly open recess, a support region to receive a component in the supporting frame and at least two fixing elements to fix the component above the support region. A base area of the plinth region and a base area of the support region enclose an acute angle.