Proof: Angle Symmetry Property 5

Let's prove the following theorem:

if m∠ABC = m∠XYZ, then m∠ZYX = m∠ABC

A B C X Y Z

Proof:

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Given
1 m∠ABC = m∠XYZ
Proof Table
# Claim Reason
1 m∠XYZ = m∠ZYX m∠XYZ = m∠ZYX
2 m∠ZYX = m∠ABC if m∠ABC = m∠XYZ and m∠XYZ = m∠ZYX, then m∠ZYX = m∠ABC
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