Question

it is 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:

ABC is an isosceles triangle with AB =AC and D is a point on BC such that AD⊥BC (Fig. 7.13). To prove that ∠BAD=∠CAD, a student proceeded as follows:

ΔABD and ΔACD,

AB = AC (Given)

∠B=∠C (because AB = AC)

and ∠ADB=∠ADC

Therefore, ΔABD≅ΔACD(AAS)

So, ∠BAD=∠CAD(CPCT)