Question

it is given that the angle BAD equal to the angle C A and Angle B equal to the angle D prove that the angle ADB equal to angle AEC​

Answer 1

Answer:

ΔABD and ΔACD,

AB = AC (Given)

∠B=∠C (because AB = AC)

and ∠ADB=∠ADC

Therefore, ΔABD≅ΔACD(AAS)

So, ∠BAD=∠CAD(CPCT)

△ABD and △ACD

AB=AC (given )

Then ∠ABD=∠ACD ( because AB=AC )

and ∠ADB=∠ADC=90( because AD⊥BC )

∴△ABD=△ACD

∠BAD=∠CAD

It is defective to use ∠ABD=∠ACD for proving this result