Question

in the given figure angle ABC=angle BAC,D and E are points on BC and AC respectively such that DB=AE.if AD and BE intersect at O then prove that OA=OB​

Answer 1

Given, in triangle CAB,

angle ABC = angle BAC and DB = AE

Now,

In triangle AOE & triangle BOD,

AE = BD (given)

Angle ABC = Angle BAC (given)

Angle EAO = Angle DBO ( since angle ABC = angle BAC)

thus by ASA Congruency

triangle AOE = triangle BOD (by CPCT)

this gives

OA = OB.

Answer 2

Answer:

PLEASE REFER TO THE ATTACHMENT