Question

critical thinking tell whether the statement is always, sometimes, or never true.
always sometimes never
vertical angles are adjacent.
explain your reasoning.
vertical angles are formed by intersecting lines.
two angles that are vertical may or may not share a common side.
two angles that are vertical may or may not have the same vertex.
vertical angles form two pairs of opposite rays, so they do not share a common side.

Explanation:

Step1: Recall vertical angles definition

Vertical angles are formed by two intersecting lines, opposite each other. Adjacent angles share a common side and vertex.

Step2: Analyze adjacency of vertical angles

Vertical angles are opposite, so they don't share a common side (adjacent angles need a common side). So vertical angles are never adjacent. For reasoning, "Vertical angles form two pairs of opposite rays, so they do not share a common side" is correct because vertical angles' sides are opposite rays, no common side.

Answer:

For "Vertical angles are adjacent", the answer is Never. For the reasoning, the correct option is "Vertical angles form two pairs of opposite rays, so they do not share a common side."