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complete the proof that ∠twx≅∠stw. statement reason 1. su∥vx given 2. ∠…

Question

complete the proof that ∠twx≅∠stw.
statement reason

  1. su∥vx given
  2. ∠twx≅∠rtu
  3. ∠rtu≅∠stw
  4. ∠twx≅∠stw transitive property of congruence

Explanation:

Step1: Identify angle - pair relationship

$\angle TWX$ and $\angle RTU$ are vertical angles. Vertical angles are congruent.

Step2: Identify angle - pair relationship

$\angle RTU$ and $\angle STW$ are vertical angles. Vertical angles are congruent.

Answer:

  1. Reason: Vertical angles are congruent.
  2. Reason: Vertical angles are congruent.