Proof: Alternate Interior Angles Theorem (Converse) 8

Let's prove the following theorem:

if WS || TZ, then m∠SWZ = m∠TZW

S W Z T

Proof:

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Given
1 WS || TZ
Proof Table
# Claim Reason
1 m∠SWZ = m∠WZT if WS || TZ, then m∠SWZ = m∠WZT
2 m∠WZT = m∠TZW m∠WZT = m∠TZW
3 m∠SWZ = m∠TZW if m∠SWZ = m∠WZT and m∠WZT = m∠TZW, then m∠SWZ = m∠TZW

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