Step 1: Count total valence electrons of Xe.
Xenon has 8 valence electronsWe determine lone pairs using steric number (bond pairs + lone pairs)
Step 2: Analyze each option.
\[
\text{XeF}_2
\]
Total bonds = 2 → steric number = 5 → lone pairs = 3
\[
\text{XeF}_4
\]
Total bonds = 4 → steric number = 6 → lone pairs = 2
\[
\text{XeO}_2\text{F}_2
\]
Total bonds = 4 (2 Xe=O + 2 Xe–F) → steric number = 5 → lone pairs = 1
\[
\text{XeO}_3\text{F}_2
\]
Total bonds = 5 → steric number = 6 → lone pairs = 1
Step 3: Check correct structure.
In XeO$_2$F$_2$, xenon has one lone pair and trigonal bipyramidal geometry
Step 4: Conclusion.
\[
\boxed{\text{XeO}_2\text{F}_2}
\]