Proof: Alternate Interior Angles Theorem (Converse) 7
Let's prove the following theorem:
if WS || TZ, then m∠TZW = m∠SWZ
Proof:
Given
1 | WS || TZ |
---|
# | Claim | Reason |
---|---|---|
1 | m∠SWZ = m∠WZT | if WS || TZ, then m∠SWZ = m∠WZT |
2 | m∠WZT = m∠SWZ | if m∠SWZ = m∠WZT, then m∠WZT = m∠SWZ |
3 | m∠WZT = m∠TZW | m∠WZT = m∠TZW |
4 | m∠TZW = m∠SWZ | if m∠WZT = m∠TZW and m∠WZT = m∠SWZ, then m∠TZW = m∠SWZ |
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