Proof: Distance is Greater Than Distance 2

Let's prove the following theorem:

if m∠BAC > m∠CDB, then m∠CAB > m∠CDB

A D C B

Proof:

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Given
1 m∠BAC > m∠CDB
Proof Table
# Claim Reason
1 m∠BAC = m∠CAB m∠BAC = m∠CAB
2 m∠CAB > m∠CDB if m∠BAC > m∠CDB and m∠BAC = m∠CAB, then m∠CAB > m∠CDB

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