Yes. An angle, by definition, is two rays with the same origin.
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Vertical angles
Perpendicular rays are two rays that intersect one another to form four right angles. Below is an image that shows two perpendicular rays.
adjacent angles are angles that have a common ray coming out of the vertex going between two other rays.
supplimentary angles
If I understand the question: Either pair of opposite angles formed by the intersection of 2 lines.