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.
 Two angles are Adjacent when they have a common side and a common vertex (corner point), and don't overlap.
What Is and Isn't an Adjacent Angle
Adjacent Angles they share a vertex and a side
NOT Adjacent Angles they only share a vertex, not a side
NOT Adjacent Angles they only share a side, ALSO the angles must not overlap.
NOT Adjacent Angles angles a and b overlap 2104, 2105 Copyright © 2022 Rod Pierce
Adjacent angles are two angles that have a common vertex and a common side but do not overlap.
In the figure, ∠ 1 and ∠ 2 are adjacent angles. They share the same vertex and the same common side.
In the figure, ∠ 1 and ∠ 3 are non-adjacent angles. They share a common vertex, but not a common side.
Angles ∠ 1 and ∠ 2 are non-adjacent angles. They share common side, but not a common vertex.
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What are angles that have the same vertex share a common side and have no interior points in common?
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