Proof: Angles of an Equilateral Triangle

Let's prove the following theorem:

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

X Y Z

Proof:

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Given
1 △XYZ is an equilateral triangle
Proof Table
# Claim Reason
1 distance XZ = distance YZ if △XYZ is an equilateral triangle, then distance XZ = distance YZ
2 m∠XYZ = m∠YXZ if distance XZ = distance YZ, then m∠XYZ = m∠YXZ

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