Proof: If Angles Congruent Then Parallelogram 2

Let's prove the following theorem:

if m∠YZW = m∠WXY and m∠ZWX = m∠XYZ, then WXYZ is a parallelogram

Z W X Y

Proof:

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Given
1 m∠YZW = m∠WXY
2 m∠ZWX = m∠XYZ
Proof Table
# Claim Reason
1 m∠WXY = m∠YZW if m∠YZW = m∠WXY, then m∠WXY = m∠YZW
2 m∠XYZ = m∠ZWX if m∠ZWX = m∠XYZ, then m∠XYZ = m∠ZWX
3 WXYZ is a parallelogram if m∠XYZ = m∠ZWX and m∠WXY = m∠YZW, then WXYZ is a parallelogram

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