In adjoining figure if angle ABD is equal to angle ACE and AB = AC then prove that BD = CE
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HEY MATE HERE IS YOUR ANWSER
Given,
AD=AE where, D and E are points on BC,
Such that BD = EC,
To prove :
AB = AC,
Proof :
∵ AD=AE
⇒ ∠ADE = ∠AED
⇒ 180° - ∠ADE = 180° - ∠AED
⇒ ∠ADB = ∠AEC,
BD = EC ( given )
By SAS postulate of congruence,
Δ ABD ≅ Δ ACE
By CPCT,
AB = AC
Hence, proved....
Read more on Brainly.in - https://brainly.in/question/5566798#readmoreAnswer:
Given,
AD=AE where, D and E are points on BC,
Such that BD = EC,
To prove :
AB = AC,
Proof :
∵ AD=AE
⇒ ∠ADE = ∠AED
⇒ 180° - ∠ADE = 180° - ∠AED
⇒ ∠ADB = ∠AEC,
BD = EC ( given )
By SAS postulate of congruence,
Δ ABD ≅ Δ ACE
By CPCT,
AB = AC
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