Final answer:
The linear electron-pair geometry is associated with bond angles of 180°, typically seen with central atoms connected by two double bonds and no lone pairs, resulting in no shared electron space.
Step-by-step explanation:
The electron-pair geometry that has bond angles of 180 degrees is called linear. This linear arrangement occurs with central atoms that have two regions of high electron density.
Valence shell electron pair repulsion theory, is a model used in chemistry to predict the geometry of individual molecules from the number of electron pairs surrounding their central atoms.
When utilizing VSEPR theory for determining molecular geometry, if there are no lone pairs on the central atom, and it is connected by two double bonds (or a combination of single and triple bonds), as in the example of the molecule O=C=O, the geometry conforms to a linear shape with a 180° bond angle.
This is also visually depicted as having no shared space between two electron pairs on opposite sides of the central atom.