If so, then here's a two column proof
| Statement | Reason |
|---|---|
| 1. Angle AKE = Angle REK | Given |
| 2. Angle 1 = Angle 4 | Given |
| 3. Angle 1 + Angle 2 = Angle AKE | Angle Addition Postulate |
| 4. Angle 3 + Angle 4 = Angle REK | Angle Addition Postulate |
| 5. Angle 1 + Angle 2 = Angle 3 + Angle 4 | Substitution (see statement 1) |
| 6. Angle 4 + Angle 2 = Angle 3 + Angle 4 | Substitution |
| 7. Angle 2 = Angle 3 | Addition Property of Equality |
| 8. Segment SK is parallel to Segment TE | Alternate Interior Angles Converse |