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In the given proof, we are asked to identify the best reason that supports **Statement 2**, which states:  
**m∠A = m∠B**.

### Let's break down the options:

- **A. Subtraction Property of Equality**: This property applies when something is subtracted from both sides of an equation, which doesn't seem relevant here.
  
- **B. Reflexive Property**: This states that a quantity is equal to itself, such as \( a = a \). This is not what's happening here either, as we are dealing with the equality of two different angles.

- **C. Linear Pair Postulate**: This postulate states that if two angles form a linear pair, then their sum is 180°. However, this comes into play later in the proof for the relationship between ∠B and ∠C, but not for ∠A and ∠B.

- **D. Definition of Congruency**: This definition states that two angles are congruent if and only if their measures are equal. Since the problem gives that ∠A ≅ ∠B (statement 1), the measure of angle A must be equal to the measure of angle B. Therefore, **this is the correct reason for statement 2**.

### Correct Answer:  
**D. Definition of Congruency**.

Would you like any further details or explanations?

### Follow-up Questions:
1. What is the Linear Pair Postulate and how is it applied in this proof?
2. How does the substitution property work in geometry proofs?
3. Why is the final statement m∠C = 60° the conclusion of this proof?
4. Can you explain the subtraction property of equality in another context?
5. What is the difference between the definition of congruency and reflexive property?

**Tip**: Always check the relationships between given angles and apply postulates or theorems that relate to them directly when working through geometric proofs.

Select the reason that best supports Statement 2 in the given proof.

Learn how to prove that m∠C = 60° by using geometric postulates and definitions in this angle proof. This problem focuses on the Definition of Congruency and the Linear Pair Postulate, suitable for students in Grades 9-12.

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