Proof: Angles of an Isosceles Triangle 4 A

Let's prove the following theorem:

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

X Z Y

Proof:

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

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