Proof: Parallel Then Corresponding Short 4

Let's prove the following theorem:

if WX || YZ and m∠YWR = 180, then m∠ZYW = m∠XWR

R X W Z Y

Proof:

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Given
1 WX || YZ
2 m∠YWR = 180
Proof Table
# Claim Reason
1 YZ || WX if WX || YZ, then YZ || WX
2 m∠XWR = m∠ZYW if YZ || WX and m∠YWR = 180, then m∠XWR = m∠ZYW
3 m∠ZYW = m∠XWR if m∠XWR = m∠ZYW, then m∠ZYW = m∠XWR

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