Alternate Interior Angles Theorem (Converse)

if WX || YZ and m∠WSX = 180 and m∠YTZ = 180, then m∠WST = m∠STZ

Given(s)

• WX || YZ

• m∠WSX = 180

• m∠YTZ = 180

Proof Table

#	Claim	Reason
1	HI || YZ	if m∠HSI = 180 and m∠YTZ = 180 and m∠HST = m∠STZ, then HI || YZ (Alternate Interior Angles Theorem)
2	line WX intersects line YZ at point X	if HI || YZ and line HI intersects line WX at point S, then line WX intersects line YZ at point X (Parallel Lines Property)

Conclusion

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