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