identification of cosmic background radiation
CMBR appears to be the same in all directions which implies all parts of the Universe were in contact a long time ago
wavelength has increased as the universe was hotter long ago
Identification of red shift of galaxies
the further the galaxy is the greater the red-shift
larger redshift means faster movement of galaxies so the further away, the faster the galaxy moves away
galaxies moving apart from each other implies expansion from a single point or since the Big Bang