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Step 1:
I'll solve this step by step, following the precise LaTeX formatting guidelines:

For NOBr:

Step 2:
: Determine the central atom

- The central atom is N (nitrogen)

Step 3:
: Count valence electrons

- Total: $$5 + 6 + 7 = 18$$ valence electrons
- N: 5 valence electrons - O: 6 valence electrons - Br: 7 valence electrons

Step 4:
: Draw Lewis structure

- Arrange electrons to satisfy octet rule - Single bonds between N-O and N-Br - Remaining electrons as lone pairs

Step 5:
: Electron-pair geometry

- Electron-pair geometry is $$\mathrm{tetrahedral}
- Count total electron domains around N - 3 bonding domains (N-O, N-Br) - 1 lone pair - Total: 4 electron domains

Step 6:
: Molecular geometry

For $$\mathrm{NO}_{2}\mathrm{F}$$:
- 1 lone pair reduces symmetry

Step 7:
: Determine the central atom

- The central atom is N (nitrogen)

Step 8:
: Count valence electrons

- Total: $$5 + 12 + 7 = 24$$ valence electrons
- N: 5 valence electrons - O (×2): 6 × 2 = 12 valence electrons - F: 7 valence electrons

Step 9:
: Draw Lewis structure

- Double bonds between N-O - Single bond between N-F - Remaining electrons as lone pairs

Step 10:
: Electron-pair geometry

- Electron-pair geometry is $$\mathrm{tetrahedral}
- Count total electron domains around N - 3 bonding domains (N-O×2, N-F) - 1 lone pair - Total: 4 electron domains

Step 11:
: Molecular geometry

- Molecular geometry is $$\mathrm{bent}
- 1 lone pair reduces symmetry

Final Answer

1. NOBr: - Electron-pair geometry: \mathrm{tetrahedral} - Lone pairs: 1 - Molecular geometry: \mathrm{bent} 2. \mathrm{NO}_{2}\mathrm{F}: - Electron-pair geometry: \mathrm{tetrahedral} - Lone pairs: 1 - Molecular geometry: \mathrm{bent}