Here's Black's first move, Gh2+:
White has one legal move, Kf2. Black then mates with Bg3:
Here's Black's first move, Nxf3+:
White has two legal moves, Kh1 and Kf1. In either case, Black mates with Gh2. Here's the final position when White plays Kf1:
Here's Black's first move, Ge3+:
White has two legal moves, Kh1 and Kh2. In either case, Black mates with Gf1. Here's the final position when White plays Kh2:
Here's White's first move, Re7+.
Black has two legal moves, Kf8 and Kg8. In either case, White mates with Gxg6. Here's the final position when Black plays Kf8:
Here's Black's first move, Gd2+:
White has two legal moves, Ka1 and Ka3. In either case, Black mates with Gc2. Here's the final position when White plays Ka3:
Here's White's first move, Gd5+.
Black has two legal moves, Kc8 and Kb8. If White plays Kc8, Black mates with Gxa8. If White plays Kb8, Black mates with Gc6. Here's the final position in the latter case:
Here's Black's first move, Bxg2+: White has one legal move, Kg1. Black then mates with Gh3: