![]() Because ACB and DCE are vertical angles, they are congruent. In this case, BAE and DEA are alternate interior angles, so they are congruent. Because ¯AB ¯DE, you can look at ¯AB and ¯DE as two parallel lines cut by a transversal ¯AE. The figures are getting a bit more complicated, and you have to use more and more of your previous results in order to write out proofs.
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