Transitive Property of Equality Variation 2
Angle Symmetry Example 2
Distance Property 2
Distance Property 1
Collinear Then 180
Subtract Both Sides
Add Term to Both Sides 6
Subtract Both Sides 2
Add Term to Both Sides 7
Transitive Property of Equality Variation 1
Vertical Angles
Angle Addition Theorem
Collinear Angles Property 9
Collinear Angles B
Exterior Angle
Exterior Angle B
Collinear Angles Property 10
Collinear Angles Property 3
Collinear Angles Property 3 B
Collinear Angles Property 3 C
alternate interior angles then parallel
Aia Then Parallel 2

Proof: Alternate Interior Angles Theorem 2

Let's prove the following theorem:

if m∠WSX = 180 and m∠YTZ = 180 and m∠WST = m∠STZ, then XW || ZY

W X Y Z S T

Proof:

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Given
1 m∠WSX = 180
2 m∠YTZ = 180
3 m∠WST = m∠STZ
Proof Table
# Claim Reason
1 WX || YZ if m∠WSX = 180 and m∠YTZ = 180 and m∠WST = m∠STZ, then WX || YZ
2 XW || ZY if WX || YZ, then XW || ZY
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