Identify pairs of angles as adjacent, vertical, or linear in this geometry worksheet.

Let’s go through each pair of angles one by one and decide if they are adjacent, vertical, or linear.

First, let’s remember what each term means:

- Adjacent angles: Two angles that share a common vertex and a common side, but do not overlap.
- Vertical angles: Angles opposite each other when two lines cross. They are always equal.
- Linear pair: Two adjacent angles that form a straight line — their non-common sides form a straight line, and their measures add up to 180°.

Now, let’s look at each problem:

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1) Angles a and b share a vertex and a side. They are next to each other and don’t overlap → Adjacent

2) Angles 1 and 2 are opposite each other where two lines cross → Vertical

3) Angles 1 and 2 share a vertex and a side, and they’re next to each other → Adjacent

4) Angles P and Q are on a straight line, sharing a vertex and a side, and together they make a straight angle → Linear

5) Angles 1 and 2 share a vertex and a side, and they’re side-by-side → Adjacent

6) Angles C and D are opposite each other where two lines intersect → Vertical

7) Angles a and b are next to each other, share a vertex and a side → Adjacent

8) Angles a and b share a vertex and a side, and they’re next to each other → Adjacent

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