(1) Red shift of light from galaxies correlates to their distance from us, which implies everything is flying apart, which implies everything was once in the same place.
(2) Microwave background radiation from space matches what we would expect to see if the universe was a ball of energy that expanded.
(3) Universe is converting hydrogen and helium to heavier elements. This implies a starting point when there was only hydrogen and helium, the lightest elements.