Proof: Angles of an Equilateral Triangle 3

Let's prove the following theorem:

if △XYZ is an equilateral triangle, then m∠YZX = m∠ZXY

X Y Z

Proof:

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Given
1 XYZ is an equilateral triangle
Proof Table
# Claim Reason
1 m∠ZXY = m∠XZY if △XYZ is an equilateral triangle, then m∠ZXY = m∠XZY
2 m∠XZY = m∠YZX m∠XZY = m∠YZX
3 m∠YZX = m∠ZXY if m∠ZXY = m∠XZY and m∠XZY = m∠YZX, then m∠YZX = m∠ZXY

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