جَاءَ زَيْدٌ وَوَجْهُهُ مُشْرِقٌ
Zayd arrived with his face radiant.
The suffix -hu in wajhuhu refers to Zayd, supplying a pronominal connection within the second clause. The initial wāw connects that entire clause as an attendant circumstance to Zayd's arrival.
The two signs need not be redundant: one identifies the person described, while the other announces the relation of the whole clause to the earlier event.