SOLUTION: given rectangle ABCD and AE is congruent to de, prove angle EDC is congruent to angle EAB

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Question 1189293: given rectangle ABCD and AE is congruent to de, prove angle EDC is congruent to angle EAB

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

AE ≅ DE
ΔAED is isosceles
m∠EDA = m∠EAD
m∠ADC = m∠DAE = 90o
m∠EDA + m∠ADC = m∠EAD + m∠DAE
m∠EDC = m∠EAB
∠EDC ≅ ∠EAB

Edwin