https://file.aiquickdraw.com/mathbot/file/1730477471734fhfajrrq.jpg

To solve these questions, let’s use the fact that triangles \( \triangle XYZ \) and \( \triangle MNL \) are congruent, meaning that corresponding angles and sides in each triangle are equal.

Given:
- \( m \angle Y = 33^\circ \)
- \( m \angle N = 124^\circ \)
- \( NL = 12 \)
- \( MN = 8 \)

We’ll match each part accordingly.

### Solutions:
1. **Question 3**: \( m \angle Y = \)  
   Since \( \angle Y \) corresponds to \( \angle L \), we have:
   \[
   m \angle Y = m \angle L = 33^\circ
   \]

2. **Question 4**: \( m \angle M = \)  
   Since \( \angle M \) corresponds to \( \angle Z \), we have:
   \[
   m \angle M = m \angle Z = 124^\circ
   \]

3. **Question 5**: \( m \angle Z = \)  
   \( m \angle Z \) was identified in the previous step as being congruent to \( \angle M \), so:
   \[
   m \angle Z = 124^\circ
   \]

4. **Question 6**: \( XY = \)  
   Since \( XY \) corresponds to \( NL \), we have:
   \[
   XY = NL = 12
   \]

### Summary of Answers:
- **3. \( m \angle Y = 33^\circ \)**
- **4. \( m \angle M = 124^\circ \)**
- **5. \( m \angle Z = 124^\circ \)**
- **6. \( XY = 12 \)**

Would you like more details on congruence properties or have any questions?

### Related Questions:
1. How do we determine congruence between two triangles?
2. What other information can we infer from two triangles being congruent?
3. How would you solve for unknown sides if only partial lengths were given?
4. Can two triangles have different side lengths but be congruent?
5. What are the criteria for triangle congruence (e.g., SSS, SAS)?

#### Tip:
When working with congruent triangles, always pair up corresponding sides and angles accurately to solve for unknowns efficiently.

In Exercises 3-6, ΔXYZ ≅ ΔMNL. Complete the statement: Find m∠Y, m∠M, m∠Z, and XY based on the congruent triangles.

Solve Exercises 3-6 on congruent triangles ΔXYZ ≅ ΔMNL, finding the measures of angles Y, M, Z, and side XY. This problem reinforces concepts of corresponding angles and sides in congruent triangles, suitable for Grade 9 geometry students.

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