what is an adjacent angle?

An adjacent angle refers to two angles that have the same vertex and a common side, but do not overlap with each other. In other words, they are situated next to each other.

whats a vertex and a ray in angles?

In angles, a vertex refers to the common endpoint of the two lines or rays that form the angle. It is the point where the lines or rays intersect.

A ray, on the other hand, is a part of a line that has one endpoint (the starting point) and continues infinitely in one direction. In angles, it refers to one of the two sides that forms the angle, with the vertex being the shared endpoint.