Geometry worksheet identifying angle relationships.

Let’s go through each problem one by one. We’re looking for the relationship between two angles: complementary, linear pair, vertical, or adjacent.

Remember:
- Complementary = two angles that add up to 90° (like a right angle split in two).
- Linear pair = two angles that are next to each other and form a straight line (add up to 180°).
- Vertical = opposite angles formed when two lines cross — they are equal and across from each other.
- Adjacent = two angles that share a side and vertex but don’t overlap — they’re “next to” each other.

Now let’s solve:

---

1) Angles ∠p and m are on opposite sides of intersecting lines — they are across from each other → vertical

2) Angles ∠c and ∠q share a common side and vertex, and together they make a bigger angle — not a straight line, not 90°, just sharing a side → adjacent

3) Angles ∠n and ∠d also share a side and vertex — same as #2 → adjacent

4) Angles ∠a and ∠t share a side and vertex — again, just next to each other → adjacent

5) Angles ∠h and j are on a straight line and next to each other — they form a straight angle → linear pair

6) Angles ∠g and r are across from each other where two lines cross → vertical

7) Angles ∠k and ∠b are on a straight line and next to each other → linear pair

8) There’s a little square at the corner — that means it’s a right angle (90°). So ∠e and ∠t add up to 90° → complementary

---

Final Answer:
1) vertical
2) adjacent
3) adjacent
4) adjacent
5) linear pair
6) vertical
7) linear pair
8) complementary