We present the first detailed extreme ultraviolet photometric observat
ions of a magnetic cataclysmic variable. Our two EUVE observations of
the AM Her star RE 1149+28 were obtained about 1 yr apart and show lig
ht-curve variations on orbital to yearly timescales, as well as long-t
erm mean flux level changes of a factor of 2. The photometric data sho
w a persistent ingress EUV enhancement which lasts similar to 0.04 in
phase. We attribute this to a region of similar to 10(3) km in extent
at the accretion impact site, on or very near the surface of the white
dwarf primary. Our observations of RE 1149 are consistent with a rela
tively low system inclination and provide a best-fit orbital period of
90.14+/-0.015 minutes.