Even if the temperature of the water doesn't reach boiling, some molecules are able to escape into the air. The temperature is just the average amount of energy in the whole thing. Some molecules get enough kinetic energy to escape into the air it is 3am as of writing this but I think I'm right
The air around you contain water vapor, it can be humid. You know about the atmospheric pressure ? A part of it comes from the humidity in the air : let's call it humidity partial pressure. And this pressure is proportionnal to humidity. Evaporation comes from a difference of partial pressure between liquid water and air's humidity. If air is totaly dry, there is no humidity partial pressure, but some water pressure in liquid water : the water goes where the pressure is lower. But it works only for molecules with enough kinetic energy, because they need enough energy to quit the water.