Most online sources suggest that the bond angle of $\ce{OBr2}$ is greater than the one of $\ce{OCl2}.$ It is explained by the electronegativity difference and electron repulsion within the VSEPR theory.
However, I think that the extent of back bonding would be more for $\ce{OCl2}$ and hence its bond angle should be greater. I have not been able to find any experimental data from reliable sources to verify my assumption.
Can someone please explain why I may be wrong and provide experimental data on bond angles along with it?