Question 1105835: I am currently doing proofs in Geometry right now but I am a little rusty on this subject. Can anyone help me with this question and do the T chart with Statement and Reasons? Thank you so much for helping I'd appreciate it so much!
https://docs.google.com/document/d/1wm3DYz9CfSorUik7rAmPmE8KDot4XqPKC6E_Ml6S_OE/edit?usp=sharing
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! CBD=BDH are alternate interior angles. They are equal if the lines are parallel.
CBD=ABJ because of vertical angles.
Further, ABJ=BDH, and those are corresponding angles that are equal.
That should be enough
BDH=JHI because angle IHG is supplementary to ABJ
JHI is supplementary to IHG.
That makes it equal to ABJ, which is supplementary, and also to BDH.
When JHI is equal to BDH, corresponding angles are equal, and the lines are parallel.
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