1. **Problem Statement:** Identify the type of angle pairs for the given angle pairs in the diagram with two parallel lines and a transversal.
2. **Recall definitions:**
- Corresponding angles are in the same relative position at each intersection where a transversal crosses two lines.
- Same-side interior angles lie on the same side of the transversal and inside the two lines.
- Alternate interior angles lie on opposite sides of the transversal and inside the two lines.
- Alternate exterior angles lie on opposite sides of the transversal and outside the two lines.
3. **Analyze each pair:**
- ∠2 and ∠7: These are on opposite sides of the transversal and outside the two lines, so they are **alternate exterior angles**.
- ∠8 and ∠3: These are on the same side of the transversal and inside the two lines, so they are **same-side interior angles**.
- ∠1 and ∠5: These are in the same relative position at each intersection (top left and top right), so they are **corresponding angles**.
- ∠5 and ∠4: These are on opposite sides of the transversal and inside the two lines, so they are **alternate interior angles**.
- ∠6 and ∠4: These are on the same side of the transversal and inside the two lines, so they are **same-side interior angles**.
4. **Summary of answers:**
- ∠2 and ∠7: alternate exterior angles
- ∠8 and ∠3: same-side interior angles
- ∠1 and ∠5: corresponding angles
- ∠5 and ∠4: alternate interior angles
- ∠6 and ∠4: same-side interior angles
This completes the identification of the angle pairs as requested.
Angle Pairs Identification Ec67E1
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.