Question

st ⊥ tu and vw ⊥ wx. complete the proof that ∠vwx ≅ ∠stu.

1 st ⊥ tu given
2 vw ⊥ wx given
3 m∠stu = 90° definition of perpendicular lines
4 m∠vwx = 90° definition of perpendicular lines
5 m∠stu = m∠vwx transitive property of equality
6 ∠vwx ≅ ∠stu

Explanation:

Step1: Recall the definition of congruent angles

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

Step2: Use the given measures

We know from step 5 that \(m\angle STU=m\angle VWX\).

Answer:

Definition of congruent angles (If two angles have equal measures, then the angles are congruent)