Geometry Worksheets | Angles Worksheets - Free Printable

Let’s go through each problem one by one. We’re looking at pairs of angles and need to name their relationship: complementary, linear pair, vertical, or adjacent.

First, let’s quickly remember what each term means:

- Complementary: Two angles that add up to 90° (like corners of a square).
- Linear pair: Two angles that are next to each other and form a straight line — they add up to 180°.
- Vertical: Angles opposite each other when two lines cross — they are equal.
- Adjacent: Angles that share a common side and vertex but don’t overlap — they can be any size, as long as they’re side-by-side.

Now let’s solve each one:

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Problem 1)
We see two lines crossing. ∠p and ∠m are across from each other → these are vertical angles.

✔ Answer: vertical

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Problem 2)
∠c and ∠q are next to each other, sharing a side and vertex. They don’t form a straight line or right angle necessarily — just side-by-side → adjacent.

✔ Answer: adjacent

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Problem 3)
∠n and d are also next to each other, sharing a ray → again, adjacent.

✔ Answer: adjacent

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Problem 4)
∠a and t are side-by-side, sharing a vertex and side → adjacent.

✔ Answer: adjacent

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Problem 5)
Two lines intersecting. ∠h and ∠j are across from each other → vertical angles.

✔ Answer: vertical

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Problem 6)
∠g and ∠r are on a straight line, next to each other → together they make 180° → linear pair.

✔ Answer: linear pair

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Problem 7)
∠k and ∠b are on a straight line, side-by-side → they form a straight angle → linear pair.

✔ Answer: linear pair

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Problem 8)
There’s a right-angle symbol (square corner), so ∠e and ∠t together make 90° → complementary.

✔ Answer: complementary

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