Proof: Interior Angles of Parallel Lines

Let's prove the following theorem:

if WX || YZ, then ∠WXZ and ∠XZY are supplementary

W I Y J X Z

Proof:

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Given
1 WX || YZ
Additional Assumptions
2 m∠WXI = 180
3 m∠YZJ = 180
Proof Table
# Claim Reason
1 WI || YJ if WX || YZ and m∠WXI = 180 and m∠YZJ = 180, then WI || YJ
2 WXZ and ∠XZY are supplementary if WI || YJ and m∠WXI = 180 and m∠YZJ = 180, then ∠WXZ and ∠XZY are supplementary
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