Proof: Alternate Interior Angles Theorem 4

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	m∠TSW = m∠WST	m∠TSW = m∠WST (Angle Symmetry Property)
2	m∠STZ = m∠WST	if m∠STZ = m∠TSW and m∠TSW = m∠WST, then m∠STZ = m∠WST (Transitive Property of Equality)
3	m∠WST = m∠STZ	if m∠STZ = m∠WST, then m∠WST = m∠STZ (Symmetric Property of Equality)
4	WX || YZ	if m∠WSX = 180 and m∠YTZ = 180 and m∠WST = m∠STZ, then WX || YZ (Alternate Interior Angles Theorem)

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