Proof: Alternate Interior Angles Theorem (Converse) 3

Let's prove the following theorem:

if WS || TZ, then m∠WST = m∠ZTS

W S T Z

Proof:

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Given
1 WS || TZ
Proof Table
# Claim Reason
1 m∠WST = m∠STZ if WS || TZ, then m∠WST = m∠STZ
2 m∠STZ = m∠ZTS m∠STZ = m∠ZTS
3 m∠WST = m∠ZTS if m∠WST = m∠STZ and m∠STZ = m∠ZTS, then m∠WST = m∠ZTS
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