Which has the smallest bond angles $(\mathrm{X}-\mathrm{S}-\mathrm{X})$ In the given molecules?

In the list of molecules, $\begin{array}{r}{\mathrm{OSF}}_2\end{array}$ has the smallest bond $(\mathrm{X}-\mathrm{S}-\mathrm{X})$. The element on earth that has the most electronegative charge is fluorine.

As a result of it drawing the $\mathrm{OS}-\mathrm{F}$ bond electrons toward it, the bond pair electrons are no longer attracted to one another as much.
The $\mathrm{F}-\mathrm{OS}-\mathrm{F}$ binding angle is hence minimal.