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If by "AXE formula" you mean VSEPR formulas in general then yes in most cases since the VSEPR formula tells you the number of atoms attached to the central atom as well as the number of lone pairs atttached, and you can determine the name of the shape by the position of bound atoms. Molecules with the same formula generally have the same shape.
The only problem with this is molecules with double bonds can have the same formula as those with no double bonding, so they would still have the same shape and angle, but the single bonded molecule would be able to rotate while the double bonded molecule could not
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