Bullet chess at 1 min per side is sometimes a crazy affair, but a surprising number of games have a good dose of strategy and tactics. Still it was a little unusual to have two study like finishes in one morning. So here we go.
Postion 1.
After 25. ... Re6
In this rook and opposite color bishops endgame, white is a pawn up and looks set to win some more. But a little finesse can net more.
26. Bg5+ Kh5
27. f3!
Cutting off the escape square on g4
27. ... h6
28. Rh7!
1-0
Position 2.
After 22. ... h6
A lackadaisically played opening and white is in a lot of trouble. A stab in the dark with 21. Ng5 and black's h6 means the knight on the g6 is unprotected and this opens up some chances.
23. Nf6+!! Kh8
23 .. gxf6 24. Qxg6+ Kh8 25. Qh7++ or
23 .. Rxf6 24. Rxe8+ Rf8 25. Qxg6 Qxg5 26. Qe6+ Kh7 27. Rxf8 wins
24. Qxg6 Rxe1+
25. Kg2
And black can only delay mate at h7 with a few spite checks.
Edit - 10-12-2020: Fixed typos in moves for first position