Adjacent Angles Worksheets - Free Printable

To determine whether the indicated angle pairs are adjacent, we need to understand the definition of adjacent angles. Adjacent angles are two angles that:

1. Share a common vertex.
2. Share a common side.
3. Do not overlap (i.e., they do not have any interior points in common other than the common side).

Let's analyze each problem step by step:

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Problem 1:

- Diagram: Two angles sharing a common vertex and a common side.
- Analysis: The angles share a common vertex and a common side, and they do not overlap.
- Conclusion: The angles are adjacent.

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Problem 2:

- Diagram: Two angles that do not share a common side.
- Analysis: The angles do not share a common side, even though they share a common vertex.
- Conclusion: The angles are not adjacent.

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Problem 3:

- Diagram: Two angles sharing a common vertex and a common side.
- Analysis: The angles share a common vertex and a common side, and they do not overlap.
- Conclusion: The angles are adjacent.

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Problem 4:

- Diagram: Two angles that do not share a common side.
- Analysis: The angles do not share a common side, even though they share a common vertex.
- Conclusion: The angles are not adjacent.

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Problem 5:

- Diagram: Two angles sharing a common vertex and a common side.
- Analysis: The angles share a common vertex and a common side, and they do not overlap.
- Conclusion: The angles are adjacent.

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Problem 6:

- Diagram: Two angles that do not share a common side.
- Analysis: The angles do not share a common side, even though they share a common vertex.
- Conclusion: The angles are not adjacent.

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Problem 7:

- Diagram: Two angles sharing a common vertex and a common side.
- Analysis: The angles share a common vertex and a common side, and they do not overlap.
- Conclusion: The angles are adjacent.

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Problem 8:

- Diagram: Two angles that do not share a common side.
- Analysis: The angles do not share a common side, even though they share a common vertex.
- Conclusion: The angles are not adjacent.

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Final Answers:

1. Adjacent
2. Not adjacent
3. Adjacent
4. Not adjacent
5. Adjacent
6. Not adjacent
7. Adjacent
8. Not adjacent

Boxed Answer:

\[
\boxed{\text{Adjacent, Not adjacent, Adjacent, Not adjacent, Adjacent, Not adjacent, Adjacent, Not adjacent}}
\]