Complete the proof that VX ⊥ WY. 1. ∠WZX ≅ ∠VZW 2. m∠VZW + m∠WZX = 180° 3. m∠VZW + m∠WZX = 180° 4. It should end only with words no

To complete the proof that VX ⊥ WY, we can utilize the information provided. Here’s a step-by-step outline based on your statements:

1. Given Conditions:

– ∠WZX ≅ ∠VZW (These two angles are congruent; they have equal measures.)

2. Understanding the Angle Sum:

– The next step states that m∠VZW + m∠WZX = 180°. This means the measures of angles VZW and WZX add up to 180 degrees, indicating that they are supplementary angles.

3. Using the Congruence:

– Since ∠WZX ≅ ∠VZW, we can replace one angle with the other in terms of their measure: m∠WZX = m∠VZW.

4. Substituting:

– If we consider that both angles are the same and add them together: m∠VZW + m∠VZW = 180°.

5. Setting up the Equation:

– This simplifies to 2 * m∠VZW = 180°.

6. Solving for the Angle Measure:

– Dividing both sides by 2 gives us m∠VZW = 90°.

7. Conclusion:

– Since we’ve shown that m∠VZW = 90°, this proves that VX is perpendicular to WY, as