  We report the first confirmation of a hot Jupiter discovered by the
Transiting Exoplanet Survey Satellite (TESS) mission: HD 202772A b. The transit
signal was detected in the data from TESS Sector 1, and was confirmed to be of
planetary origin through radial-velocity measurements. HD 202772A b is orbiting
a mildly evolved star with a period of 3.3 days. With an apparent magnitude of
V = 8.3, the star is among the brightest known to host a hot Jupiter. Based on
the 27days of TESS photometry, and radial velocity data from the CHIRON and
HARPS spectrographs, the planet has a mass of 1.008+/-0.074 M_J and radius of
1.562+/-0.053 R_J , making it an inflated gas giant. HD 202772A b is a rare
example of a transiting hot Jupiter around a quickly evolving star. It is also
one of the most strongly irradiated hot Jupiters currently known.
