SOLUTION: solve the following problem: http://homework.russianschool.com/resource?key=54101jiop7nbb given:∠D≅∠C prove: ∠A≅∠E

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Question 1124746: solve the following problem:
http://homework.russianschool.com/resource?key=54101jiop7nbb
given:∠D≅∠C
prove: ∠A≅∠E

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
from what i can tell, .....

angle D and angle C are congruent (given).
angle DBC and angle CBE are congruent (vertical angles are congruent).
triangles DAB and CEB are therefore similar by AA.
this makes angle A congruent to angle E because corresponding angles of similar triangles are congruent.

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