Proof: Collinear Angles Property 10

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	m∠BCX = m∠ACX	if m∠ABC = 180, then m∠BCX = m∠ACX (Collinear Points Property)
2	m∠BCX = m∠XCB	m∠BCX = m∠XCB (Angle Symmetry Property)
3	m∠ACX = m∠XCA	m∠ACX = m∠XCA (Angle Symmetry Property)
4	m∠XCB = m∠ACX	if m∠BCX = m∠XCB and m∠BCX = m∠ACX, then m∠XCB = m∠ACX (Transitive Property of Equality Variation 2)
5	m∠XCB = m∠XCA	if m∠XCB = m∠ACX and m∠ACX = m∠XCA, then m∠XCB = m∠XCA (Transitive Property of Equality)

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