Proof: Rectangle Right Angles 2

Let's prove the following theorem:

if WXYZ is a rectangle, then ∠XYZ is a right angle

Z W X Y

Proof:

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Given
1 WXYZ is a rectangle
Proof Table
# Claim Reason
1 WXYZ is a parallelogram if WXYZ is a rectangle, then WXYZ is a parallelogram
2 WX || ZY if WXYZ is a parallelogram, then WX || ZY
3 WXY is a right angle if WXYZ is a rectangle, then ∠WXY is a right angle
4 WXY and ∠XYZ are supplementary if WX || ZY, then ∠WXY and ∠XYZ are supplementary
5 (m∠WXY) + (m∠XYZ) = 180 if ∠WXY and ∠XYZ are supplementary, then (m∠WXY) + (m∠XYZ) = 180
6 m∠WXY = 90 if ∠WXY is a right angle, then m∠WXY = 90
7 90 + (m∠XYZ) = 180 if (m∠WXY) + (m∠XYZ) = 180 and m∠WXY = 90, then 90 + (m∠XYZ) = 180
8 m∠XYZ = 90 if 90 + (m∠XYZ) = 180, then m∠XYZ = 90
9 XYZ is a right angle if m∠XYZ = 90, then ∠XYZ is a right angle

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