Complete the proof that VX ⊥ WY.
1. ∠WZX ≅ ∠VZW
2. m∠VZW + m∠WZX = 180°
3. m∠VZW + m∠WZX = 180°
4.
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
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Complete the proof that VX ⊥ WY.
1. ∠WZX ≅ ∠VZW
2. m∠VZW + m∠WZX = 180°
3. m∠VZW + m∠WZX = 180°
4.
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