Yes, since the vertex is a point and the vertical angles share that point.
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Vertical angles must necessarily be congruent, however congruent angles do not necessarily have to be vertical angles. An example of congruent angles which are not vertical angles are the 3 interior angles of an equilateral triangle. These angles do not share the same vertex yet they are congruent.
Well it could be complementary or supplementary because they don't have to share a vertex yet I think you mean something like the vertical angle. You can go research vertical angles. I'll give you a link for the vertical angles. http://www.mathsisfun.com/geometry/vertical-angles.html
Coterminal angles are angles that are formed at the same vertex.
Two opposite right-angles, whose corners share the same crossing point, are vertical angles.
Vertical angles are a pair of non-adjacent angles formed by the intersection of two lines. They are congruent, meaning they have the same measure. In other words, vertical angles are opposite each other when two lines intersect, and their measures are equal.