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In this problem, we’re given that triangle \( \triangle UVW \) is congruent to triangle \( \triangle UEC \). This congruence means corresponding angles of the two triangles are equal.

Since we are asked for the angle corresponding to \( \angle W \), let's identify the position of \( W \) in \( \triangle UVW \) and match it with its corresponding angle in \( \triangle UEC \):

1. In \( \triangle UVW \), the vertices are labeled as \( U \), \( V \), and \( W \).
2. In \( \triangle UEC \), the vertices are \( U \), \( E \), and \( C \).
3. Since \( \angle W \) is the third angle listed in \( \triangle UVW \), the corresponding angle in \( \triangle UEC \) would be the third angle, which is \( \angle C \).

Thus, the answer is:

**C) \( \angle C \)**

Would you like a further breakdown or have additional questions?

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Here are some related questions to deepen understanding:
1. How do you identify corresponding angles in congruent triangles?
2. What are other ways to prove triangles are congruent besides angle congruence?
3. How does the concept of corresponding angles apply in similar triangles?
4. Can you explain the difference between congruent and similar triangles?
5. How would you solve a problem where the corresponding sides, instead of angles, are unknown?

**Tip:** In congruent triangles, matching positions of angles or sides in the given notation often reveals the corresponding parts easily.

Name the corresponding angle. ΔUVW ≅ ΔUEC. ∠W ≅ ?

Learn how to identify corresponding angles in congruent triangles ΔUVW and ΔUEC. This geometry problem explores the concept of corresponding angles in congruent shapes, helping students in Grades 6-8 understand triangle congruence and angle matching.

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