Question

Prove that AC bisects angle A

Answer 1

Answer:

Connect points BD

Mark O where it intersects AC.

Now in triangle AOB and triangle AOD

AB = AD

AO = AO (Common side)

angle ABO = angle ADO ( Isosceles triangle)

Therefore, triangle AOB and triangle AOD are congruent.

Hence, angle BAC = angle DAC

Therefore, AC bisects angle A

Hence proved

Hope this will help.