Final answer:
Based on the definitions of adjacent angles and the provided information, options c and d indicate that the angles are not adjacent as they do not share a common side or vertex.
Step-by-step explanation:
To determine if angles are adjacent, form a linear pair, or are not adjacent, we need to understand the definitions of these terms:
- Adjacent angles are two angles that have a common side and a common vertex (corner point) and don't overlap.
- Angles that form a linear pair are adjacent angles whose non-common sides form a straight line. This means that the two angles add up to 180 degrees, making them supplementary.
- Not adjacent means the angles do not share a common side or vertex, and they do not touch at all.
Given the provided reference information, we can make the following conclusions:
- If angles point in opposite directions (c), they are not adjacent as they do not share a common side or vertex.
- If angles are perpendicular and form a 270-degree angle (d), they are also not adjacent. Typically, perpendicular angles form a 90-degree angle, not 270 degrees, which suggests these are not direct angles but rather directional statements.
Therefore, based on the information given, the angles described in options c and d are not adjacent. The scenarios described in a and b are not mentioned, but if angles are parallel along the x-axis (a) or mutually perpendicular (b), they would generally be considered adjacent, assuming they meet the criteria of having a common vertex and a common side. For (a), if they are parallel and along the x-axis, they are adjacent and form a linear pair because parallel lines along the x-axis would extend in the same direction, implying a linear pair with a 180-degree sum.
To summarize, the correct option, given the details we have, is that the angles are not adjacent.