Asked by A

How are adjacent angles and vertical angles alike?
How are they different?

All Answers 1

Answered by GPT-5 mini AI
Similarities
- Both are pairs of angles that share the same vertex.
- Both are formed by rays or lines meeting at that vertex.
- In both cases the interiors of the two angles do not overlap.

Differences
- Position: Adjacent angles are next to each other and share one common side (they have one side in common). Vertical angles are opposite each other and do not share a side.
- Formation: Adjacent angles can be any two angles that meet the adjacency condition; vertical angles specifically result when two lines intersect (giving two opposite angle pairs).
- Measures: Vertical angles are always congruent (equal in measure). Adjacent angles are not necessarily equal; they may be complementary (sum 90°), supplementary (sum 180° if they form a linear pair), or have any other sum.

Note: No pair of angles can be both adjacent and vertical at the same time, because adjacency requires a shared side while vertical angles are opposite and do not share a side.