Question

in the figure,BCDE is a straight line.AB=AE , BC=ED and BAC = EAD.Prove that ACD=ADC.

Answer 1

in triangle ABD and triangle ACE

As given angle BAC equals to angle EAD and angle BAD is also equal to angle CAE

As given BC equals to ED then BD is also equals to CE

then
ab=ae
angle BAD = angle CAE
BD = CE

hence triangles are congruent by SAS rule
angle ACD= Angle ADC by (cpct)

Answer 2

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