Proof: Collinear Angles Property 8

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	m∠CBA = 180	if m∠ABC = 180, then m∠CBA = 180 (Angle Symmetry Example 2)
2	m∠BAX = m∠CAX	if m∠CBA = 180, then m∠BAX = m∠CAX (Collinear Points Property)
3	m∠BAX = m∠XAB	m∠BAX = m∠XAB (Angle Symmetry Property)
4	m∠XAB = m∠CAX	if m∠BAX = m∠XAB and m∠BAX = m∠CAX, then m∠XAB = m∠CAX (Transitive Property of Equality Variation 2)
5	m∠CAX = m∠XAC	m∠CAX = m∠XAC (Angle Symmetry Property)
6	m∠XAB = m∠XAC	if m∠XAB = m∠CAX and m∠CAX = m∠XAC, then m∠XAB = m∠XAC (Transitive Property of Equality)

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