Proof: Two Angles Equal Then Isosceles 2

Let's prove the following theorem:

if m∠ZXY = m∠ZYX, then distance ZX = distance ZY

X Z Y

Proof:

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

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