Yes: by definition, two adjacent angles have the same vertex, a side in common and don't overlap.
So, if two angles share the vertex and a side, but they overlap, they are not adjacent.
For example, consider the origin, the x and y axes, and the bisector of the first quadrant [tex] y=x [/tex]
Define angle [tex] \alpha [/tex] between the x axis and the bisector, and angle [tex] \beta [/tex] between the x axis and the y axis. So, [tex] \alpha [/tex] and [tex] \beta [/tex] have the same vertex (the origin) and one side in common (the x axis), but they do overlap, and are not adjacent.
Although your question is incomplete a general answer is provided :
No A pair of non-adjacent angles does not share the same vertex ( a )and a common side ( arm ab ) simultaneously
Non-adjacent angles are angles that do not share a common side and a common vertex simultaneously, but adjacent angles are angles that share a common vertex, common side and do not overlap each other. for angles to be non-adjacent one of the following must be missing :
Hence from your question a pair of nonadjacent angles will not share a vertex a and common side ( arm ab )
learn more : https://brainly.com/question/1542165
