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