Proof: Angles of an Equilateral Triangle 4

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	m∠XYZ = m∠YXZ	if △XYZ is an equilateral triangle, then m∠XYZ = m∠YXZ (Angles of an Equilateral Triangle)
2	m∠YXZ = m∠ZXY	m∠YXZ = m∠ZXY (Angle Symmetry Property)
3	m∠YZX = m∠ZXY	if △XYZ is an equilateral triangle, then m∠YZX = m∠ZXY (Angles of an Equilateral Triangle 3)
4	m∠XYZ = m∠YZX	if m∠XYZ = m∠YXZ and m∠YZX = m∠ZXY and m∠YXZ = m∠ZXY, then m∠XYZ = m∠YZX (Propagated Transitive Property 3)

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