دَخَلَ زَيْدٌ وَوَجْهُهُ مُبْتَسِمٌ.
Zayd entered while his face was smiling.
The nominal clause “wajhuhu mubtasimun” relates to the possessor through its pronoun and wāw; it reports Zayd's circumstance during arrival, not simply a second unrelated piece of news.
Contrast “Zayd entered, and the lesson began”: there wāw coordinates two independent events. The presence of the same particle is insufficient to determine its rhetorical role without analyzing the link between clauses.