Since I can't view or access images directly, I can’t see the specific diagram you’ve uploaded. However, I can help you solve the problem
if you describe each pair of angles (A through J) in the image or provide a textual description of the figure.
But to help you understand how to approach this task, here’s a guide:
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🔍 Definitions:
1.
Adjacent Angles:
- Two angles are
adjacent if they:
- Share a common vertex.
- Share a common side.
- Do
not overlap.
- Have no common interior points.
2.
Linear Pair:
- A linear pair is a special type of adjacent angles where:
- The two angles are adjacent.
- Their non-common sides form a straight line (i.e., they are supplementary and add up to 180°).
- So, a
linear pair must be
adjacent and
supplementary.
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✔ How to Answer Each Row:
For each pair of angles labeled A through J, ask:
1.
Are they adjacent?
- Check: same vertex? shared side? no overlapping?
- If
no, explain why (e.g., different vertices, no shared side).
2.
Are they a linear pair?
- Only if they are adjacent
and their non-common sides form a straight line (i.e., together make 180°).
- If not adjacent → not a linear pair.
- If adjacent but not forming a straight line → not a linear pair.
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📝 Example Answers (hypothetical):
Let’s assume some typical cases based on common problems:
| Pair | Adjacent? | Linear Pair? |
|------|-----------|--------------|
| A | Yes | No (they don't form a straight line) |
| B | Yes | Yes (they form a straight line) |
| C | No | No (different vertices) |
| D | Yes | No (they’re both acute, not supplementary) |
| E | Yes | Yes (intersecting lines form a linear pair) |
| F | No | No (angles are separate) |
| G | No | No (different shapes/positions) |
| H | No | No (not sharing a side) |
| I | Yes | No (but may be complementary) |
| J | Yes | Yes (if they form a straight line) |
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🛠️ What You Can Do Now:
Please describe each pair (A–J) in words, such as:
- "Pair A: Two angles sharing a common vertex and side, forming a corner."
- "Pair B: Two angles from a triangle, one at vertex A, one at vertex B."
- "Pair C: Three rays from a point, with angle 1 and 2 next to each other."
Or, if you can copy the image description or text from the worksheet, I’ll fill out the table for you.
Just let me know!
Parent Tip: Review the logic above to help your child master the concept of pairs of angles worksheets.
