Proof: Parallel Then Corresponding Short 3b
Let's prove the following theorem:
if WX || YZ and m∠ZXR = 180, then m∠YZR = m∠WXR
Proof:
Given
| 1 | WX || YZ |
|---|---|
| 2 | m∠ZXR = 180 |
| # | Claim | Reason |
|---|---|---|
| 1 | m∠YZX = m∠WXR | if WX || YZ and m∠ZXR = 180, then m∠YZX = m∠WXR |
| 2 | m∠YZX = m∠YZR | if m∠ZXR = 180, then m∠YZX = m∠YZR |
| 3 | m∠YZR = m∠WXR | if m∠YZX = m∠YZR and m∠YZX = m∠WXR, then m∠YZR = m∠WXR |
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