Question

given: ∠wzx ≅ ∠wzv
prove: wy ⊥ vx
statement

1. ∠wzx ≅ ∠wzv

2)

1. m∠wzx + m∠wzv = 180

4)
5)
reason
1)

1. definition of linear pair

3)

1. supplementary congruent angles are right angles.
2. definition of ⊥ lines

linear pairs theorem; ∠wzx and ∠wzv are a linear pair.; wy ⊥ vx; given; m∠wzx = m∠wzv = 90

Explanation:

Step1: State the given

Given

Step2: Identify linear - pair

$\angle WZX$ and $\angle WZV$ are a linear pair.

Step3: Apply linear - pair theorem

Linear Pairs Theorem

Step4: Find angle measures

$m\angle WZX=m\angle WZV = 90^{\circ}$

Step5: Prove perpendicular lines

$WY\perp VX$

Answer:

1. Given
2. $\angle WZX$ and $\angle WZV$ are a linear pair.
3. Linear Pairs Theorem
4. $m\angle WZX=m\angle WZV = 90^{\circ}$
5. $WY\perp VX$