I'm wondering what is the exact reasoning to explain why in $\ce{GeX_2}$ the angle $\widehat{XGeX}$ is less bigsmaller when $\ce{X}=\ce{F}$ than when $\ce{X}=\ce{I}$.
I ask this question because I had an exams some days ago and I failed in this question and for me my reasoning is not false.
What I said is that
From $\ce{F}$ to $\ce{I}$ the difference of electronegativity between the germanium and the halogen is decreasing. Then the electrons in the $\ce{Ge-X}$ bond are more near $\ce{X}$ when $\ce{X}=\ce{F}$ than when $\ce{X}=\ce{I}$. Then the two bonds repulse themselves more for $\ce{GeI_2}$ than for $\ce{GeF_2}$ and so the angle increase from $\ce{F}$ to $\ce{I}$.
Why my reasoning is absolutely false, and what could be the perfect one?