Question: Which angles are vertical to each other?
∠1 and ∠5
∠1 and ∠3
∠3 and ∠6
∠4 and ∠6
1. **Problem Statement:** Identify which pairs of angles are vertical angles.
2. **Definition:** Vertical angles are pairs of opposite angles made by two intersecting lines. They are always equal.
3. **Given:** Two slanted parallel lines cut by a transversal, with angles labeled as follows:
- Left intersection: angles 3 and 4 above the transversal, angles 2 and 1 below.
- Right intersection: angles 7 and 8 above the transversal, angles 6 and 5 below.
4. **Check each pair:**
- ∠1 and ∠5: These are on different intersections and not opposite angles formed by the same intersection, so not vertical.
- ∠1 and ∠3: At the left intersection, angles 1 and 3 are on opposite sides of the transversal and opposite each other, so they are vertical angles.
- ∠3 and ∠6: Different intersections, not vertical.
- ∠4 and ∠6: Different intersections, not vertical.
5. **Conclusion:** The only vertical angles pair from the options is $$\angle 1 \text{ and } \angle 3$$.