Proof: Parallel Then Corresponding

Let's prove the following theorem:

if WX || YZ and m∠WSX = 180 and m∠YTZ = 180 and m∠RST = 180, then m∠WSR = m∠STY

W X Y Z R S T

Proof:

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Given
1 WX || YZ
2 m∠WSX = 180
3 m∠YTZ = 180
4 m∠RST = 180
Proof Table
# Claim Reason
1 m∠XST = m∠STY if WX || YZ and m∠WSX = 180 and m∠YTZ = 180, then m∠XST = m∠STY
2 m∠WSR = m∠XST if m∠WSX = 180 and m∠RST = 180, then m∠WSR = m∠XST
3 m∠WSR = m∠STY if m∠WSR = m∠XST and m∠XST = m∠STY, then m∠WSR = m∠STY

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