Question

the following triangles are similar. match the congruent angles. angle congruent angle ∠trs ∠def ∠rst ∠efd ∠str ∠fde

Explanation:

Step1: Recall similar - triangles property

In similar triangles, corresponding angles are congruent.

Step2: Match the corresponding vertices

For similar triangles $\triangle TRS$ and $\triangle DEF$, the vertices $T$ corresponds to $D$, $R$ corresponds to $E$, and $S$ corresponds to $F$.
$\angle TRS$ corresponds to $\angle DEF$, $\angle RST$ corresponds to $\angle EFD$, and $\angle STR$ corresponds to $\angle FDE$.

Answer:

$\angle TRS$ - $\angle DEF$, $\angle RST$ - $\angle EFD$, $\angle STR$ - $\angle FDE$