As I understand it, sideslip is a condition. sideslip angle, on the other hand...
They're really the same thing applied in different contexts. Essentially, both are the angle between the yaw direction vector and the direction of travel. we just typically use slip angle for tires and sideslip angle for aircraft.
In a crosswind landing, an aircraft will be in level flight with respect to roll, but there will be a yaw angle to counteract wind force and prevent drift. As in the diagram JT posted, the aircraft will be oriented at an angle to its direction of travel, similar to a tire in a turn. We can call this sideslip angle.
There is also a technique typically used by glider pilots called "sideslipping". It is performed by crossing the yaw and roll controls and is normally used to shed excess speed/altitude for a landing. In this case in plan view the craft will have a slip angle in that there is an angle between the direction the aircraft is facing and the direction in which it is travelling. The difference is in this case, the aircraft will have a significant amount of roll to increase drag.
I hope we are all clear now and can get back to discussing tyres.