Proof: Exterior Angle Equal to Sum of Nonadjacent 2

Let's prove the following theorem:

if m∠XYZ = 180, then (m∠WXY) + (m∠XWY) = m∠WYZ

W X Y Z

Proof:

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Given
1 m∠XYZ = 180
Proof Table
# Claim Reason
1 m∠WYZ = (m∠WXY) + (m∠YWX) if m∠XYZ = 180, then m∠WYZ = (m∠WXY) + (m∠YWX)
2 m∠YWX = m∠XWY m∠YWX = m∠XWY
3 (m∠WXY) + (m∠XWY) = m∠WYZ if m∠WYZ = (m∠WXY) + (m∠YWX) and m∠YWX = m∠XWY, then (m∠WXY) + (m∠XWY) = m∠WYZ

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