4. What 2 things must angles share to be considered adjacent angles? Show you work

To be considered adjacent angles, two angles must share both a common vertex and a common side.

For example, let's consider two angles, angle A and angle B:

A
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B

In this diagram, angle A and angle B share the same vertex (the point where the two lines meet) and the same side (the line that extends from the vertex to create each angle). Therefore, these angles are adjacent angles.

agian no diagrams this time

Apologies for the confusion. Without diagrams, we can describe adjacent angles as follows:

Adjacent angles are two angles that share a common vertex and a common side.

For example, if we have two angles, angle 1 and angle 2, the conditions for them to be considered adjacent angles are:
1. They have the same vertex: The endpoint of the rays forming both angles should be the same point.
2. They have a common side: The sides of the angles should coincide and be consecutive.

Without a specific example to illustrate, it's still important to note that to be adjacent angles, both conditions (common vertex and common side) must hold true.