Proof: Vertical Angles C

Let's prove the following theorem:

if m∠XPW = 180 and m∠YPZ = 180, then m∠XPY = m∠WPZ

W Y Z X P

Proof:

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Given
1 m∠XPW = 180
2 m∠YPZ = 180
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

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