Proof: Corresponding Angles Then Parallel 2

Let's prove the following theorem:

if m∠WJI = m∠YKJ and m∠WJX = 180 and m∠YKZ = 180 and m∠KJI = 180, then WX || YZ

W X Y Z I J K

Proof:

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Given
1 m∠WJI = m∠YKJ
2 m∠WJX = 180
3 m∠YKZ = 180
4 m∠KJI = 180
Proof Table
# Claim Reason
1 m∠IJK = 180 if m∠KJI = 180, then m∠IJK = 180
2 WX || YZ if m∠WJI = m∠YKJ and m∠WJX = 180 and m∠YKZ = 180 and m∠IJK = 180, then WX || YZ

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