Proof: Parallel Then Corresponding Short 2
Let's prove the following theorem:
if WX || YZ and m∠WYR = 180, then m∠ZYR = m∠XWY
Proof:
Given
1 | WX || YZ |
---|---|
2 | m∠WYR = 180 |
# | Claim | Reason |
---|---|---|
1 | ZY || XW | if WX || YZ, then ZY || XW |
2 | m∠RYW = 180 | if m∠WYR = 180, then m∠RYW = 180 |
3 | m∠ZYR = m∠XWY | if ZY || XW and m∠RYW = 180, then m∠ZYR = m∠XWY |
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