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In the given diagram, you are asked to find the linear pair of angle \( \angle DGA \).

### What is a linear pair?
A linear pair of angles are two adjacent angles whose non-common sides form a straight line. The sum of the angles in a linear pair is always \( 180^\circ \).

### Identifying \( \angle DGA \):
- \( \angle DGA \) is formed by the points \( D \), \( G \), and \( A \), where \( G \) is the vertex. This corresponds to angle \( 2 \) in the diagram.

### The linear pair of \( \angle DGA \):
- The angle adjacent to \( \angle DGA \) along the line \( AB \) is \( \angle BGF \), labeled as angle \( 1 \) in the diagram.
- Since angles \( 1 \) and \( 2 \) are adjacent and their non-common sides (along \( AB \)) form a straight line, they form a linear pair.

Thus, the angle number representing the linear pair of \( \angle DGA \) is **angle 1**.

Would you like more details or have any other questions? Here are some related questions you might find helpful:

1. What is the sum of the angles in a linear pair?
2. How are adjacent angles different from vertically opposite angles?
3. What are supplementary angles and how do they relate to a linear pair?
4. How can you determine if two angles are forming a linear pair just by their measurements?
5. Can two obtuse angles form a linear pair?

**Tip:** Linear pairs of angles always add up to \(180^\circ\), which makes them useful in solving various geometry problems.

Which angle number represents the linear pair of ∠DGA?

Understand how to identify the linear pair of ∠DGA using key geometry concepts and the linear pair axiom. This problem involves recognizing adjacent angles and calculating their sum to verify linearity. Suitable for Grades 6-8 students.

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