Question

statements reasons 1. nm || po 1. given 2. ∠2 ≅ ∠3 2. alternate interior angles theorem 3. ∠1 ≅ ∠3 3. given 4. ∠1 ≅ ∠2 4. ? 5. lm || no 5. converse of alternate interior angles theorem what is the missing reason in the proof? given transitive property alternate interior angles theorem converse - alternate interior angles theorem

Explanation:

We know that $\angle2\cong\angle3$ (by alternate - interior angles theorem) and $\angle1\cong\angle3$ (given). The transitive property of congruence states that if $a = b$ and $b = c$, then $a = c$. Here, since $\angle1\cong\angle3$ and $\angle3\cong\angle2$, we can conclude $\angle1\cong\angle2$ by the transitive property.

Answer:

transitive property