Step 1: Recall what a fixed support physically does.
A fixed support clamps the member completely, so it cannot move sideways, cannot move vertically, and crucially, it cannot rotate either.
Step 2: Connect this to the rotation at that end.
Since rotation is fully restrained, the slope of the member at the fixed end never changes under load.
Step 3: State the value.
\[ \theta_{fixed} = 0. \]
\[ \boxed{\text{Zero}} \]