Proof: Parallel Then Corresponding Short

Let's prove the following theorem:

if WX || YZ and m∠RXZ = 180, then m∠WXR = m∠YZX

W S Y T R X Z

Proof:

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Given
1 WX || YZ
2 m∠RXZ = 180
Assumptions
3 m∠WXS = 180
4 m∠YZT = 180
Proof Table
# Claim Reason
1 WS || YT if WX || YZ and m∠WXS = 180 and m∠YZT = 180, then WS || YT
2 m∠WXR = m∠YZX if WS || YT and m∠WXS = 180 and m∠YZT = 180 and m∠RXZ = 180, then m∠WXR = m∠YZX

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