был разбужен

was awakened

→ быть
phrase Rare #48,459
was awakened Used with a masculine subject; the thing that woke someone is often introduced with «шумом» or another instrumental-form noun.
RU: Я был разбужен звонком.
EN: I was awakened by the phone ringing.

Должно быть, и он был разбужен криком.

He must have been woken by the scream, too.