Geometry

Question Analysis：
This question is about finding extra info to prove using ASA.
We must match options with ASA criteria based on the triangles' existing info.

Key Concept Explanation：
ASA postulate: If two angles and the included side of one triangle are congruent to those of another, the triangles are congruent.

Step - by - Step Solution：
We know (vertical angles) and .
For ASA, we need another angle pair that includes (or ).
Option D () gives this, satisfying ASA.

Option Analysis：
- A. : Side - side equality, not for ASA, incorrect.
- B.

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