Proof: Perpendicular to One Then Other Simple

Let's prove the following theorem:

if WS || YT and WS ⊥ ST, then YT ⊥ TS

W S X Y T Z

Proof:

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Given
1 WS || YT
2 WS ⊥ ST
Additional Assumptions
3 m∠WSX = 180
4 m∠YTZ = 180
Proof Table
# Claim Reason
1 WX || YZ if WS || YT and m∠WSX = 180 and m∠YTZ = 180, then WX || YZ
2 YT ⊥ TS if WX || YZ and m∠WSX = 180 and m∠YTZ = 180 and WS ⊥ ST, then YT ⊥ TS

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