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QUESTION IMAGE

∠abc≅∠def ∠cab≅∠fde ∠bca≅∠efd

Question

∠abc≅∠def
∠cab≅∠fde
∠bca≅∠efd

Explanation:

Step1: Recall triangle - congruence criteria

We need to consider what additional information is needed for triangle congruence. Given some side - length or angle - measure relationships, we use postulates like SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), SSS (Side - Side - Side).

Step2: Analyze the given information

We assume we want to prove $\triangle ABC\cong\triangle DEF$. If we have some side - equalities (from the markings on the sides of the triangles), we need an included - angle equality for SAS or two non - included angle equalities for AAS or ASA.
If we assume we are using the SAS postulate, and we have side - equalities, we need the included angles to be equal.
If we assume we are using AAS or ASA, we need the appropriate pairs of angles to be equal.
Let's assume we are using the SAS postulate. We need the angle between the two sides of one triangle to be equal to the angle between the corresponding two sides of the other triangle.
If we assume the sides with markings are corresponding sides, we need $\angle CAB\cong\angle FDE$ to use the SAS postulate.

Answer:

B. $\angle CAB\cong\angle FDE$