Question

uw || rt. complete the proof that ∠tsv ≅ ∠svu.
statement reason
1 uw || rt given
2 ∠svu ≅ ∠qsr
3 ∠qsr ≅ ∠tsv
4 ∠tsv ≅ ∠svu transitive property of congruence

Explanation:

Step1: Identify angle - pair relationship

Corresponding angles are congruent when lines are parallel. Since $\overleftrightarrow{UW}\parallel\overleftrightarrow{RT}$, $\angle QSR$ and $\angle TSV$ are corresponding angles.

Step2: State the reason

The reason for $\angle QSR\cong\angle TSV$ is "Corresponding Angles Postulate".

Answer:

Corresponding Angles Postulate