1. The problem states that triangles $\triangle SIT$ and $\triangle DOG$ are similar, denoted as $\triangle SIT \sim \triangle DOG$. 2. In similar triangles, corresponding angles are congruent. This means each angle in $\triangle SIT$ matches an angle in $\triangle DOG$ in the same order. 3. The order of vertices in the similarity statement tells us the correspondence: $S \leftrightarrow D$, $I \leftrightarrow O$, and $T \leftrightarrow G$. 4. Therefore, the angle corresponding to $\angle T$ in $\triangle SIT$ is $\angle G$ in $\triangle DOG$. 5. The answer is the letter $G$.