Proof: Corresponding Angles Then Parallel 3

Let's prove the following theorem:

if m∠YKJ = m∠WJI and m∠WJX = 180 and m∠YKZ = 180 and m∠KJI = 180, then YZ || WX

W X Y Z I J K

Proof:

View as a tree | View dependent proofs | Try proving it

Given
1 m∠YKJ = m∠WJI
2 m∠WJX = 180
3 m∠YKZ = 180
4 m∠KJI = 180
Proof Table
# Claim Reason
1 m∠WJI = m∠YKJ if m∠YKJ = m∠WJI, then m∠WJI = m∠YKJ
2 m∠IJK = 180 if m∠KJI = 180, then m∠IJK = 180
3 WX || YZ if m∠WJI = m∠YKJ and m∠WJX = 180 and m∠YKZ = 180 and m∠IJK = 180, then WX || YZ
4 YZ || WX if WX || YZ, then YZ || WX

Comments

Please log in to add comments