Proof: Two Angles Equal Then Isosceles 3

Let's prove the following theorem:

if m∠ZXY = m∠ZYX, then distance XZ = distance YZ

X Z Y

Proof:

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Given
1 m∠ZXY = m∠ZYX
Proof Table
# Claim Reason
1 distance ZX = distance ZY if m∠ZXY = m∠ZYX, then distance ZX = distance ZY
2 distance XZ = distance YZ if distance ZX = distance ZY, then distance XZ = distance YZ

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