It's true, an angle is made up of two rays. Two rays meet at a point, and their relative position at the point where they meet will define an angle.
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I don't think there are rays of naming. Angles are made up of 2 rays.
An angle!
Angle An angle is formed by 2 rays extending from the same endpoint.
The common endpoint of 2 rays that form an angle is the vertex.
vertex