Proof: Parallel Then Corresponding Short 4b
Let's prove the following theorem:
if WX || YZ and m∠YWR = 180, then m∠ZYR = m∠XWR
Proof:
Given
1 | WX || YZ |
---|---|
2 | m∠YWR = 180 |
# | Claim | Reason |
---|---|---|
1 | m∠ZYW = m∠XWR | if WX || YZ and m∠YWR = 180, then m∠ZYW = m∠XWR |
2 | m∠ZYW = m∠ZYR | if m∠YWR = 180, then m∠ZYW = m∠ZYR |
3 | m∠ZYR = m∠XWR | if m∠ZYW = m∠ZYR and m∠ZYW = m∠XWR, then m∠ZYR = m∠XWR |
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