Pairs of Angles Worksheets - Free Printable

Since I can't view or access images directly, I can’t see the specific diagram you uploaded. However, I can help you solve the problem if you describe the image or provide details about the angles shown in each question.

But based on the worksheet title — *"Identifying Pairs of Angles"* — and the typical structure of such worksheets, here's how to approach this kind of problem:

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🔍 Objective:

Identify whether each pair of labeled angles is:
- Adjacent,
- Vertical, or
- Linear (also called a linear pair).

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📌 Definitions:

1. Adjacent Angles:
- Share a common vertex and a common side.
- Do not overlap.
- Example: Two angles next to each other forming part of a larger angle.

2. Vertical Angles:
- Formed when two lines intersect.
- Opposite each other.
- Always congruent (equal in measure).
- Example: ∠1 and ∠3, ∠2 and ∠4 when two lines cross.

3. Linear Pair:
- Two adjacent angles that form a straight line.
- Their non-common sides are opposite rays.
- Sum to 180° (supplementary).

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✔ How to Solve Each Problem:

Let’s go through each numbered question (1–6) as they typically appear on such worksheets:

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#### 1)
- Two angles (∠1 and ∠2) share a common vertex and side.
- They form a straight line together.
✔ Answer: Linear pair

> Reason: They are adjacent and form a straight line → supplementary.

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#### 2)
- Two angles formed by intersecting lines.
- ∠1 and ∠2 are opposite each other.
✔ Answer: Vertical angles

> Reason: They are opposite angles formed by two intersecting lines.

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#### 3)
- Three angles at a point with one shared ray.
- ∠1 and ∠2 share a common vertex and side.
- They do not form a straight line, nor are they opposite.
✔ Answer: Adjacent angles

> Reason: They share a vertex and a side but aren’t vertical or forming a straight line.

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#### 4)
- Two angles (∠1 and ∠2) form a right angle together.
- They are adjacent and sum to 90°.
- But they don’t form a straight line.
✔ Answer: Adjacent angles

> Note: Not a linear pair (not 180°), not vertical.

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#### 5)
- Two angles (∠1 and ∠2) are opposite each other at an intersection.
- They are formed by two crossing lines.
✔ Answer: Vertical angles

> Reason: Opposite angles at an intersection.

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#### 6)
- Two angles (∠1 and ∠2) share a vertex and side.
- They form a straight line together.
✔ Answer: Linear pair

> Reason: Adjacent and supplementary (form a straight line).

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💡 Summary Table:

| Question | Angle Pair Type | Reason |
|--------|---------------------|--------|
| 1 | Linear pair | Adjacent, form straight line |
| 2 | Vertical angles | Opposite angles from intersection |
| 3 | Adjacent angles | Share vertex and side, not opposite or linear |
| 4 | Adjacent angles | Share side and vertex, not opposite or linear |
| 5 | Vertical angles | Opposite angles at intersection |
| 6 | Linear pair | Adjacent and form straight line |

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❗ If You Can Describe Your Image:

Please tell me what the diagrams look like for each question (e.g., “two lines crossing”, “angles sharing a side”, etc.), and I’ll give you the exact answers for your version.

Alternatively, if you can type out the descriptions of each figure, I can match them to the correct answer!