Proof: Collinear Then Equal 2 Lines

Let's prove the following theorem:

if m∠ADC = 180 and m∠BEC = 180, then m∠ACB = m∠DCE

A C B D E

Proof:

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Given
1 m∠ADC = 180
2 m∠BEC = 180
Proof Table
# Claim Reason
1 m∠ACB = m∠DCB if m∠ADC = 180, then m∠ACB = m∠DCB
2 m∠DCB = m∠DCE if m∠BEC = 180, then m∠DCB = m∠DCE
3 m∠ACB = m∠DCE if m∠ACB = m∠DCB and m∠DCB = m∠DCE, then m∠ACB = m∠DCE

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