Proof: Angles of an Isosceles Triangle 4

Let's prove the following theorem:

if distance XY = distance YZ, then m∠YZX = m∠ZXY

X Z Y

Proof:

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Given
1 distance XY = distance YZ
Proof Table
# Claim Reason
1 distance XY = distance ZY if distance XY = distance YZ, then distance XY = distance ZY
2 m∠ZXY = m∠XZY if distance XY = distance ZY, then m∠ZXY = m∠XZY
3 m∠YZX = m∠ZXY if m∠ZXY = m∠XZY, then m∠YZX = m∠ZXY

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