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Question Analysis：
This question focuses on the ASA congruence criterion for triangles.
The main task is to determine which additional condition, when combined with the given information, satisfies the ASA requirement for proving

.

Key Concept Explanation：
The ASA (Angle - Side - Angle) congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Step - by - Step Solution：
We already have

(one angle) and

(the included side between the angles). To meet the ASA criterion, we need another pair of corresponding angles to be equal.
- Option A (

) is about side - length equality, which is not relevant to the ASA criterion.
- Option B (

) provides the second pair of equal angles. With

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