Proof: Parallel Then Aia 2

Let's prove the following theorem:

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

W X Y Z S T

Proof:

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

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