The 20-year-old's current deal was to run out at the end of the season.
The Ibrox club had previously rejected a £400,000 bid for the Scot from Premier League side Bolton Wanderers.
Wylde joined Rangers' youth system from rivals Celtic in 2005.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Celtic | 10 | 9 | 1 | 0 | 29 | 3 | 26 | 28 |
| 2 | Aberdeen | 10 | 9 | 1 | 0 | 20 | 9 | 11 | 28 |
| 3 | RangersRangers | 10 | 6 | 1 | 3 | 15 | 8 | 7 | 19 |
| 4 | Dundee UnitedDundee Utd | 11 | 4 | 4 | 3 | 15 | 13 | 2 | 16 |
| 5 | Motherwell | 10 | 5 | 1 | 4 | 13 | 13 | 0 | 16 |
| 6 | Dundee | 11 | 3 | 3 | 5 | 17 | 20 | -3 | 12 |
| 7 | St Mirren | 12 | 3 | 3 | 6 | 15 | 21 | -6 | 12 |
| 8 | Kilmarnock | 11 | 3 | 3 | 5 | 15 | 23 | -8 | 12 |
| 9 | Ross County | 12 | 2 | 6 | 4 | 10 | 18 | -8 | 12 |
| 10 | St Johnstone | 12 | 3 | 1 | 8 | 15 | 25 | -10 | 10 |
| 11 | Hearts | 12 | 2 | 3 | 7 | 14 | 19 | -5 | 9 |
| 12 | Hibernian | 11 | 1 | 5 | 5 | 10 | 16 | -6 | 8 |
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