Mathematics
In the given figure, AB = AC and side BA has been produced to D. If AE is the bisector of ∠CAD, prove that AE || BC

Related Questions
In the given figure, AB = AC. If BO and CO, the bisectors of ∠B and ∠C respectively meet at O and BC is produced to D, prove that ∠BOC = ∠ACD.

Prove that the bisectors of the base angles of an isosceles triangle are equal.
In the given figure, AD is the internal bisector of ∠A and CE || DA. If CE meets BA produced at E, prove that △CAE is isosceles.

In the adjoining figure, AB = AC. If DB ⊥ BC and EC ⊥ BC, prove that :
(i) BD = CE
(ii) AD = AE
