SOLUTION: Explain why ∆ABC ~ ∆DBE and then find BC. Here is a link to the image: https://imgur.com/a/YOInNLJ This is my answer: AC \\ DE by the Converse of the Corresponding Angles Po

Question 1187560: Explain why ∆ABC ~ ∆DBE and then find BC.
Here is a link to the image: https://imgur.com/a/YOInNLJ
This is my answer:
AC \\ DE by the Converse of the Corresponding Angles Postulate. ∠A ≅ ∠BDE by the Corresponding Angles Postulate. ∆ABC ~ ∆DBE by AA Similarity. Corresponding sides are proportional, so BC = 42.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Your solution works, but I have mine:
I would say
Angles DBE and ABC are congruent because they are the same angle
It is given that angles BED and BCA are congruent
With two congruent angles, we know that the triangles are similar
I agree that BC=42
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