Question

wx ⊥ vw and tu ⊥ st. complete the proof that ∠stu ≅ ∠vwx.
statement reason
1 wx ⊥ vw given
2 tu ⊥ st given
3 m∠vwx = 90° definition of perpendicular lines
4 m∠stu = 90° definition of perpendicular lines
5 m∠vwx = m∠stu transitive property of equality
6 ∠stu ≅ ∠vwx

Explanation:

Step1: Recall angle - congruence definition

If two angles have the same measure, they are congruent.

Step2: Analyze previous steps

We have shown that $m\angle VWX=m\angle STU = 90^{\circ}$.

Answer:

Definition of congruent angles