Final answer:
Without additional context or a diagram, it's uncertain to determine which relationships are true for angles 1 and 4. Nonetheless, if they are forming a 90° angle, then they are complementary.The correct option is D.
Step-by-step explanation:
To determine the relationship between angles 1 and 4, we need information about their orientation and position. There are a few possible relationships that pairs of angles can have:
- Vertical angles are pairs of opposite angles made by two intersecting lines. These angles are always equal.
- Supplementary angles are two angles whose sum is 180°.
- A linear pair consists of adjacent angles that are supplementary and form a straight line.
- Complementary angles are two angles whose sum is 90°.
Given the additional information provided:
- If angles 1 and 4 point in opposite directions, they could potentially be vertical or supplementary.
- If they form a 270° angle, this suggests that neither are complementary, since complementary angles sum up to 90°.
- If they point in the same direction, they could be corresponding or co-interior but this does not provide conclusive information regarding their vertical, supplementary, or complementary status.
- If angles 1 and 4 are perpendicular, forming a 90° angle, then they are complementary.
Without a diagram or further context, it is difficult to determine with certainty which relationships are true for angles 1 and 4. However, it can be concluded that if they form a 90° angle, they are complementary.