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To answer the question regarding the linear pairs that include ∠7 in the diagram, let’s analyze the figure.

Linear pairs are pairs of adjacent angles that are formed when two lines intersect, and their measures add up to 180°.

- From the diagram, ∠7 is adjacent to the following angles:
  - ∠6: They share a common side and are on opposite sides of a straight line (which means they form a linear pair).
  - ∠8: They are adjacent but do not form a linear pair since they don't lie on a straight line.
  - ∠9: This forms a straight line with ∠7, hence making them a linear pair.

### The correct linear pairs including ∠7 are:
- ∠7 and ∠6
- ∠7 and ∠9

Would you like further clarification or details on this?

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Here are 5 related questions to expand your understanding:
1. What is the definition of supplementary angles?
2. How do you differentiate between adjacent angles and linear pairs?
3. Can you identify other pairs of linear pairs in the diagram that do not include ∠7?
4. What is the sum of the angles in a linear pair?
5. How do vertical angles relate to linear pairs?

**Tip:** When dealing with intersecting lines, remember that linear pairs are always supplementary (i.e., their angles sum to 180°).

Identify all the linear pairs that include ∠7 using the diagram.

Learn how to identify all the linear pairs that include ∠7 using a diagram. This geometry problem explains the concept of linear pairs and how to find them in intersecting lines. Ideal for students in Grades 6-8.

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