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