Question

In adjoining figure if angle ABD is equal to angle ACE and AB = AC then prove that BD = CE ​

Answer 1

Answer:

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Answer 2

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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