White has just played Re2 and I thought I could draw the ending by playing Rxe2, Kxe2, f4 (assuming gxf4 was just bad for white) and then Ke5 when my King can choose between King and Queenside, and white's King is somewhat hostage to black's potential activity.
Things to realise about the King + Pawn ending:
- Black can never collect white's Queenside pawns. If black gets the king to b2, white plays b4!! and then c5, and Black can't catch the pawn. This should change your valuation of the position considerably! It's a draw at best for black, and he will need to somehow keep the white King at bay on the King-side. It may have been easier to keep the rooks on!
- There are two very simple drawing structures black should know, once we reach this position the game is drawn:
Black draws by taking the King to b8 (thanks to the fortress below.)