Question

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Answer 1

Answer:

Linear Pair Theorem

m∠2

∠3

definition of congruent angles

Step-by-step explanation:

1. ∠1 and ∠2 form a linear pair of angles, so ∠1 and ∠2 are supplementary by the Linear Pair Theorem.

2. Therefore, m∠1 + m∠2 = 180°, by  the definition of supplementary angles.

3. It is given that ∠2 ≅ ∠3, so m∠2 = m∠3 by the definition of congruent angles.

4. By substitution, m ∠1 + m∠3 = 180°, so ∠1 and ∠3 are supplementary by the definition of supplementary angles.