Question

In the given figure, angle B= angle E and BD = CE, prove that triangle ABC is congruent to triangle AED

Answer 1

BC=CE.................(given)
subtract CD from both sides 
BD-CD=CE-CD
BC=DE..............(PROVED).............1
IN TRIANGLE ABC AND AED
BC=DE.......(proved).......see in equation 1
angle B = angle E ............(given)
AB=AE..........(if an isosceles triangle as two sides of an isosceles triangle are equal)
therefore by SAS rule 
triangle are congruent.....
hope so it helps you.......
thank u

Answer 2

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