The formation of angle-resolved photoelectron spectra for crystal surfaces with a complex geometric relief is considered. A simple model of a thin corrugated single-crystal film is proposed which illustrates the main specific features of this process. It is shown that photoelectron spectra of these surfaces exhibit features that, rather than reflecting the true electronic structure of the system, result from its superposition with the geometric structure. The validity of the model is demonstrated with the use of a physical system based on Ni(771) and Ni(755) stepped surfaces with periodic steps. It is revealed that, as a graphite coating grows to a monolayer thickness, these surfaces become faceted to form a geometrically nonuniform surface relief. The photoelectron spectra obtained for such a surface can be used to derive a quantitative characteristic of both the electronic structure of the surface and its geometric properties. The surface topography of the system is determined independently using scanning tunneling microscopy.