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In part **b**, angle \( CBE \) is equal to \( 45^\circ \) because triangle \( CBE \) is congruent to triangle \( ABC \). When two triangles are congruent, their corresponding angles are equal. In this case, angle \( BAC \) (which is given as \( 45^\circ \)) corresponds to angle \( CBE \) due to the translation of triangle \( ABC \) to form triangle \( CBE \). 

Thus, since \( BAC = 45^\circ \), the corresponding angle \( CBE \) must also be \( 45^\circ \). 

Would you like further clarification or details?

Here are some related questions:
1. How do translations preserve congruency in geometric figures?
2. What is the relationship between corresponding angles in congruent triangles?
3. Can you explain why translations don't alter angle measurements?
4. How can you determine congruency between two triangles?
5. How do we know that angle \( BAC \) corresponds to angle \( CBE \)?

**Tip:** When triangles are translated, the angles remain unchanged, making the corresponding angles congruent.

Understand why angle CBE is 45 degrees in a translated triangle. This problem involves geometric concepts like triangle congruency and corresponding angles, explained for students in Grades 7-9.

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