pls....ans this.....question.......
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first thing first proofs the triangles ABD and ACE congruent
Angle 1=2(given)
angle B=C (given)
BD=CE (given)
therefore the triangles are congruent...by ASA
now since Triangle ABF =ACE
AD=AC(by CPCT)
HOPE IT HELPS:-D
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see in ∆ ABC and ∆ AED
<B=<E
<BAC=<BAD+<CAD
<EAD=<EAC+<CAD
SINCE <BAD=<EAC. ....(given)
therefore <BAC=<EAD
BC=BD+DC
ED=EC+DC
SINCE BD=EC ........(given)
therefore BC=ED
THEREFORE BY AAS CRITERIA
∆ABC OS CONGURENT TO ∆AED
IN ∆ABD and ∆AEC
<1=<2
<B=<E
BD=EC
THEREFORE BOTH TRIANGLES ARE CONGURENT TO EACH OTHER ...BY AAS CRITERIA
THERFORE
BD=EC BY CPCT
HOPE IT HELPS.......
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