Proof: Vertical Angles B
Let's prove the following theorem:
if m∠XPW = 180 and m∠YPZ = 180, then m∠YPX = m∠WPZ
Proof:
Proof Table
# | Claim | Reason |
---|---|---|
1 | m∠WPZ = m∠XPY | if m∠XPW = 180 and m∠YPZ = 180, then m∠WPZ = m∠XPY |
2 | m∠XPY = m∠WPZ | if m∠WPZ = m∠XPY, then m∠XPY = m∠WPZ |
3 | m∠XPY = m∠YPX | m∠XPY = m∠YPX |
4 | m∠YPX = m∠WPZ | if m∠XPY = m∠YPX and m∠XPY = m∠WPZ, then m∠YPX = m∠WPZ |
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