BERWICK manager Ian Little is confident his players can still achieve their play-off dream.
Rangers could have clinched a top-four place had they beaten Annan.
Now they must hope they can fulfil their aim when they visit champions Rangers on the final day of the season.
Little said: “It was disappointing because we had a chance to sew it up against Annan and we didn’t take it.
“Now we go to Ibrox when we will be looking over our shoulder.”
Berwick remain fourth, three points ahead of Elgin and Montrose.
A win or draw at Ibrox would guarantee their play-off place, the worse-case scenario being they avoid a heavy defeat.
Little added:”We have a second chance and we have to take it.”
In a nervous first half at Shielfield, Berwick had the best two early chances when Stevie Notman and Kevin McDonald were denied by goalkeeper Alex Mitchell.
It looked like the teams were going to go in level at half-time, but in the 45th minute Rangers lost possession in the box and Steven Sloan cut the ball across the face of the goal for Scott Chaplain to volley home.
Late in the game, Berwick’s Lee Currie was sent off for a second yellow card and in injury time Rangers’ afternoon of misery was completed when Martin McNiff scored.
BERWICK RANGERS: McCallum; Jacobs, Townsley, McLean, Gielty, Notman, Lee Currie, Janczyk, Easton (Carse 76), McDonald (Morris 62), Lavery (Dalziel 42). Subs (not used): McCaldon, Hoskins.
Sent Off: Lee Currie (87).
Booked: Lee Currie, Dalziel.
ANNAN ATHLETIC: Mitchell; Chisholm, Peter Watson, Swinglehurst, McGowan, Monaghan, Sloan (McKechnie 83), Chaplain, McNiff, Daly, Hawke (Hopkirk 65). Subs (not used): Summersgill, Love, Thorburn.
Goals: Chaplain 45, McNiff 90.
Attendance: 627. Referee: Alan Newlands.