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If AACB = ADCE, ZABC = 61°,ZBCA = 57°, and ZCDE = 2xDEСx = [?]BEnter

If AACB = ADCE, ZABC = 61°,ZBCA = 57°, and ZCDE = 2xDEСx = [?]BEnter-example-1
User Mhep
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1 Answer

3 votes

We have two congruent triangles. This means they have corresponding sides and angles.

We assume that DE and AB are parallel segments. Then

Then, we can write:


\begin{gathered} m\angle\text{ABC}=m\angle\text{CDE} \\ 61=2x \\ x=(61)/(2) \\ x=30.5\degree \end{gathered}

Answer: x = 30.5°

If AACB = ADCE, ZABC = 61°,ZBCA = 57°, and ZCDE = 2xDEСx = [?]BEnter-example-1
User Ekky
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5.4k points
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