Prove that angle 4 is congruent to angle 3

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Prove that angle 4 is congruent to angle 3

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1435614191757:dw|
how far did you get with this proof?

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Other answers:

Um... I filled in the givens.
so they gave you a partially filled in 2 column proof table?
Here's all of what I have to work with:
and you're not sure where to go from here? if not, then we want to somehow connect angle 1 and angle 8 let's start with angle 1 and work our way to 8 what kind of angles are these (circled) |dw:1435614962781:dw|
alternate interior angles congruent because CD || EF
correct
so we can say that angle 1 is congruent to angle 3
4 congruent to 8 b/c corresponding angles, EF || GH
yes
And then use the transitive property to link everything else together... right?
yeah one more piece is that angle 3 = angle 5 (alternate interior angles, EF || GH)
then you connect them together trying to get angle 3 = angle 4
Okay. Thank you so much!
you're welcome
hmm very clever, I didn't think to take this route. But it works pretty well
everything looks good

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