Adjacent Angles Worksheets - Free Printable

Since I can't view or access images directly, I can’t see the specific figures in your worksheet. However, I can help you solve the problem if you describe the figures or provide details about each diagram.

But let’s go over what adjacent angles are and how to identify them, so you can apply this knowledge to your worksheet.

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🔷 What Are Adjacent Angles?

Adjacent angles are two angles that:
1. Share a common vertex,
2. Share a common side,
3. Do not overlap (their interiors don’t intersect),
4. And are next to each other.

They do not need to be equal or form a straight line — just share a common ray (side) and vertex.

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✔ How to Identify Two Pairs of Adjacent Angles

For each figure:
- Look for angles that share a common side and vertex.
- Pick two such pairs.

Let me walk through an example:

#### Example Figure (Imagine a point with rays going out):
Suppose there is a point with 3 rays:
- Ray A → B
- Ray B → C
- Ray C → D

This creates angles like ∠ABC, ∠BCD, etc.

Then adjacent angle pairs could be:
- ∠ABC and ∠BCD (share ray BC)
- ∠ABC and ∠ABD? Only if they share a common side — but if D is not on AB, then no.

So only angles that are next to each other along the same vertex count.

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🧩 Common Patterns

1. Two lines crossing at a point → 4 angles formed.
- Each angle has two adjacent angles (on either side).
- For example, if angles are labeled ∠1, ∠2, ∠3, ∠4 around a point:
- Adjacent pairs: (∠1, ∠2), (∠2, ∠3), (∠3, ∠4), (∠4, ∠1)

2. A single vertex with multiple rays → look for neighboring angles.

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✔ Step-by-Step Strategy

For each diagram:
1. Label the angles (e.g., ∠1, ∠2, ∠3, etc.) if not already labeled.
2. Find angles that share a common ray and vertex.
3. List two pairs of such angles.

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📝 Now, Let's Solve Your Worksheet

Since I can’t see the image, please describe each figure one by one (or list the diagrams as text), and I’ll help you identify the two pairs of adjacent angles for each.

Alternatively, here’s a sample answer format based on typical problems:

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#### Example Problem 1:
> A vertex with three rays forming angles: ∠AOB, ∠BOC, ∠COD.

Answer:
- Pair 1: ∠AOB and ∠BOC
- Pair 2: ∠BOC and ∠COD

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Please reply with a description of each figure (like "Figure 1 has two rays forming a right angle and one more ray splitting it", or "Figure 2 has four rays from a single point"), and I’ll give you the correct answers and explanations!