Question

prove angle ABC and angle EDC are congruent

Answer 1

given:- AC = EC
BC = DC
angle acb = angle dce ( V.O.A.)
hence, triangle ABC = triangle EDC ( S.A.S.)

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Answer 2

Given : AC=CE and BC =CD
To prove : triangle ABC is congurent to triangle CDE
Proof : In triangle ABC and CDE
AC=CE ( given)
BC=CD ( given)
Angle ACB= Angle DCE (vertically opposite angle)

Triangle ABC is congurent to triangle CDE
By Side Angle Side rule

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