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To justify Statement 3 in the given proof, the correct reason would be:

- **Definition of Supplementary** 

This is because Statement 3 ( \( m\angle 1 + m\angle 2 = 180^\circ \) and \( m\angle 3 + m\angle 2 = 180^\circ \)) directly uses the fact that angles \( \angle 1 \) and \( \angle 2 \), and \( \angle 2 \) and \( \angle 3 \) are supplementary, which means their measures add up to \( 180^\circ \).

Would you like more details on this proof or have any questions?

Here are five related questions that might interest you:
1. What are the properties of supplementary angles?
2. How can you prove that two angles are congruent using a two-column proof?
3. What is the difference between complementary and supplementary angles?
4. How does the transitive property apply to angles in geometry?
5. What other geometric postulates could be used to prove angle congruence?

**Tip:** When working on geometric proofs, always ensure that each statement directly follows from the previous one using a clear and valid reasoning step.

Which reason could be used to justify Statement 3 in this proof?

Explore how to prove the congruence between ∠1 and ∠3 by applying the definition of supplementary angles and a two-column proof structure. Suitable for students in Grades 8-10, this proof uses the property of linear pairs and angle congruence.

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