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The problem asks for the reason for statement #3 in the proof. Let's analyze it step by step using the information provided.

### Given:
1. ∠1 and ∠2 form a linear pair.
2. ∠1 ≅ ∠3.

### Goal:
Prove that ∠2 and ∠3 are supplementary.

### Proof breakdown:
- **Statement 1**: ∠1 and ∠2 form a linear pair.
   - **Reason**: Given.
   
- **Statement 2**: ∠1 and ∠2 are supplementary.
   - **Reason**: Definition of a linear pair (two angles that form a linear pair are supplementary).
   
- **Statement 3**: \(m∠1 + m∠2 = 180°\).
   - **Reason**: **Definition of supplementary angles** (This is the correct reason because supplementary angles are defined as two angles whose measures add up to 180°).

Since the reason for statement #3 is about the sum of the angles, the correct reason from the options provided is **"Definition of supplementary angles"**.

Would you like more details on this proof or an explanation of any other part?

### Related questions:
1. What is the definition of a linear pair?
2. How do we prove that two angles are congruent?
3. What is the vertical angles theorem?
4. How is the congruent supplements theorem applied in proofs?
5. What are the properties of supplementary and complementary angles?

### Tip:
When working on geometric proofs, always identify and understand the properties of the figures involved (e.g., linear pairs, vertical angles) before jumping into the proof.

Give the reason for statement #3 in the proof: m∠1 + m∠2 = 180°.

Learn how to prove that two angles are supplementary using the definition of supplementary angles and the linear pair theorem. This geometry proof is suitable for students in Grades 8-10 and covers key concepts in angle relationships.

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