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

Algebra ->  Geometry-proofs -> SOLUTION: solve the following problem: http://homework.russianschool.com/resource?key=54101jiop7nbb given:∠D≅∠C prove: ∠A≅∠E      Log On


   

Question 1124746: solve the following problem:
http://homework.russianschool.com/resource?key=54101jiop7nbb
given:∠D≅∠C
prove: ∠A≅∠E
Answer by Theo(13342) About Me  (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.