This is an announcement for the paper "Angles and polar coordinates in real normed spaces" by Volker Thuerey. Abstract: We try to create a wise definition of 'angle spaces'. Based on an idea of Ivan Singer, we introduce a new concept of an angle in real Banach spaces, which generalizes the euclidean angle in Hilbert spaces. With this angle it is shown that in every two-dimensional subspace of a real Banach space we can describe elements uniquely by polar coordinates. Archive classification: math.FA math.MG Mathematics Subject Classification: 52A10 Remarks: 21 pages, 8 figures The source file(s), anglepaper.tex: 114700 bytes The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0902.2731 or http://arXiv.org/abs/0902.2731 or by email in unzipped form by transmitting an empty message with subject line uget 0902.2731 or in gzipped form by using subject line get 0902.2731 to: math@arXiv.org.