Here's why:
* The geocentric model (Earth-centered) couldn't explain the phases of Venus: In the geocentric model, Venus would always be between the Earth and the Sun. This means it should always appear as a crescent or a full disk, never a gibbous or half-moon phase.
* The heliocentric model (Sun-centered) could explain the phases of Venus: In the heliocentric model, Venus orbits the Sun. As Venus orbits, its illuminated side faces the Earth at different angles. This causes us to see different phases of Venus, just like the phases of the Moon.
Galileo's observations provided strong evidence for the heliocentric model. He saw Venus go through a full cycle of phases, just like the Moon. This couldn't be explained by the geocentric model, but it was a natural consequence of the heliocentric model.
Therefore, the model of the universe does explain the phases of Venus, and Galileo's observations of these phases were crucial evidence in its favor.