How does a lone pair distort the molecular shape?

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A lone pair of electrons takes up space despite being very small. Lone pairs have a greater repulsive effect than bonding pairs. This is because there are already other forces needing to be taken into consideration with bond pairs.
So to summarize: Lone pair-lone pair repulsion > lone pair-bond pair repulsion > bond pair-bond pair repulsion. This makes the molecular geometry different.
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What is the shape of molecules containing both lone pairs and bond pairs?

It depends upon number of bonds and lone pairs. 1.Number of bonds-2 lone pair-1 shape is Angular lone pairs-2 shape is Angular lone pairs-3 shape is Linear 2.Number of bonds-3