Proof: Alternate Interior Angles Theorem (Converse) 2

Let's prove the following theorem:

if WS || TZ, then m∠WST = m∠STZ

W X Y Z S T

Proof:

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Given
1 WS || TZ
Additional Assumptions
2 m∠WSX = 180
3 m∠YTZ = 180
Proof Table
# Claim Reason
1 WX || YZ if WS || TZ and m∠WSX = 180 and m∠YTZ = 180, then WX || YZ
2 m∠WST = m∠STZ if WX || YZ and m∠WSX = 180 and m∠YTZ = 180, then m∠WST = m∠STZ

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