Diagram a:
- Angles a and b:
- These angles are complementary if they add up to 90°. However, given their arrangement on a straight line, they are likely supplementary, meaning they add up to 180°.
- They are also adjacent angles because they share a common side.
Diagram b:
- Angles c and d:
- These angles form a linear pair, meaning they are supplementary (add up to 180°) because they are adjacent and form a straight line.
- They are also adjacent angles.
Diagram c:
- Angles f and g:
- These angles are vertical angles (opposite each other when two lines intersect) and are therefore equal.
- Depending on their measure, they could also be part of a linear pair with other angles, but their primary relationship is that they are vertical angles.
Diagram d:
- Angles h and k:
- These angles are adjacent angles because they share a common side.
- If they are part of a triangle (as it appears), they are interior angles of the triangle. If the triangle is part of a larger structure, they might also be considered corresponding angles or exterior angles in certain contexts.
Each pair of angles exhibits specific relationships based on their positions and the lines or segments they interact with.
