Proof: Vertical Angles 2a

Let's prove the following theorem:

if m∠WPY = 180 and m∠XPZ = 180, then m∠ZPY = m∠WPX

W X Z Y P

Proof:

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Given
1 m∠WPY = 180
2 m∠XPZ = 180
Proof Table
# Claim Reason
1 m∠ZPY = m∠XPW if m∠XPZ = 180 and m∠WPY = 180, then m∠ZPY = m∠XPW
2 m∠XPW = m∠WPX m∠XPW = m∠WPX
3 m∠ZPY = m∠WPX if m∠ZPY = m∠XPW and m∠XPW = m∠WPX, then m∠ZPY = m∠WPX

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