Geometry

Question Analysis:
This question focuses on the triangles and in the figure.
The main point is to determine triangle congruence based on given side - and - angle information and then use the properties of congruent triangles.

Key Concept Explanation:
- SAS (Side - Angle - Side) Criterion: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
- For congruent triangles, corresponding angles are equal.

Step - by - Step Solution:
Given that ,

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