Proof: Parallel Then Corresponding Short 4b

Let's prove the following theorem:

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

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