Proof: Alternate Interior Angles Theorem 3

Let's prove the following theorem:

if m∠WSX = 180 and m∠YTZ = 180 and m∠YTS = m∠TSX, then WX || YZ

W X Y Z S T

Proof:

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Given
1 m∠WSX = 180
2 m∠YTZ = 180
3 m∠YTS = m∠TSX
Proof Table
# Claim Reason
1 YZ || WX if m∠YTZ = 180 and m∠WSX = 180 and m∠YTS = m∠TSX, then YZ || WX
2 WX || YZ if YZ || WX, then WX || YZ
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