Proof: Angles of an Equilateral Triangle 5

Let's prove the following theorem:

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

X Y Z

Proof:

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

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