Question

given: x // y and w is a transversal. prove: ∠3 ≅ ∠6. what is the missing reason in the proof? statement reason 1. x // y w is a transversal 1. given 2. ∠2 ≅ ∠3 2. def. of vert. ∠s 3. ∠2 ≅ ∠6 3. def. of corr. ∠s 4. ∠3 ≅ ∠6 4. transitive property symmetric property vertical angles are congruent definition of supplementary angles

Explanation:

Step1: Recall the statements

We have $\angle2\cong\angle3$ and $\angle2\cong\angle6$.

Step2: Apply the transitive property

If $a = b$ and $a = c$, then $b = c$. Here $a=\angle2$, $b = \angle3$ and $c=\angle6$.

Answer:

transitive property