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The problem in the image asks for the reason behind **statement #3**, which states that "∠1 + ∠2 = 180°". 

Referring to the context of the given proof and choices, **statement #3** follows from the fact that ∠1 and ∠2 form a linear pair. Angles that form a linear pair are always supplementary, meaning their measures add up to 180°.

Therefore, the correct reason for statement #3 is:

- **Definition of supplementary angles**.

Would you like further details or explanation?

Here are 5 related questions to deepen understanding:
1. What is the definition of a linear pair of angles?
2. How do we know that angles ∠1 and ∠2 are supplementary?
3. What is the Congruent Supplements Theorem, and how does it relate to this proof?
4. Can you explain how the Vertical Angles Theorem might be used in a similar proof?
5. What other situations involve supplementary angles?

**Tip:** In geometry proofs, understanding the relationships between angle pairs, such as supplementary, vertical, or congruent angles, is key to correctly identifying the reasons for each step.

Give the reason for statement #3 in a proof about supplementary angles.

Explore why statement #3 in a geometry proof, '∠1 + ∠2 = 180°,' holds true. Learn about the concept of supplementary angles, their definitions, and related theorems such as the Congruent Supplements Theorem. This problem is suitable for students in Grades 7-10.

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