Let’s think about what “adjacent angles” mean.
Adjacent angles are two angles that:
- Share a common vertex (the point where the lines meet),
- Share a common side (one ray that is part of both angles),
- And do NOT overlap — they’re next to each other, like neighbors.
Looking at ∠4 in the diagram:
∠4 is formed by two rays. One of those rays is also part of another angle right next to it — that’s the key.
Which angle shares a side with ∠4 and sits right beside it?
Look at ∠5 — it shares the same top-left ray as ∠4, and they sit side by side without overlapping. That makes them adjacent.
Now check the others:
- ∠2 is across from ∠4 — not sharing a side → not adjacent.
- ∠6 is on the opposite side — doesn’t share a side with ∠4 → not adjacent.
- ∠1 is far away — no shared side → not adjacent.
Only ∠5 shares a side and is right next to ∠4.
Final Answer:
∠5
Parent Tip: Review the logic above to help your child master the concept of vertical and adjacent angles worksheet.
