Proof: Angle Addition Theorem 2

Let's prove the following theorem:

if point X lies in interior of ∠ABC, then (m∠ABX) + (m∠XBC) = m∠ABC

A C B X

Proof:

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Given
1 point X lies in interior of ∠ABC
Proof Table
# Claim Reason
1 m∠ABC = (m∠ABX) + (m∠XBC) if point X lies in interior of ∠ABC, then m∠ABC = (m∠ABX) + (m∠XBC)
2 (m∠ABX) + (m∠XBC) = m∠ABC if m∠ABC = (m∠ABX) + (m∠XBC), then (m∠ABX) + (m∠XBC) = m∠ABC

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