Step-by-step explanation:
The diagram drawn shows two angles that share a common side and a common vertex.
Danielle only mentioned two angles share a common vertex in her conjecture.
Hence, the statement is false as there are angles which share a common vertex and they are not adjacent angles. These angles are called vertical angles.
Adjacent angles have both a common vertex and side.
Hence, Danielle ony gave an example of angles that share a vertex