  Let ${Z_{n},n\geq 0} $ be a critical branching process in random environment
and let $T$ be its moment of extinction. Under the annealed approach we prove,
as $n\to \infty ,$ a limit theorem for the number of particles in the process
at moment $n$ given $T=n+1$ and a functional limit theorem for the properly
scaled process ${Z_{nt},\delta \leq t\leq 1-\delta} $ given $T=n+1$ and $\delta
\in (0,1/2)$.
