Question

In the adjoing figure, AO bisects angle A and angle ABO=Angle ACO. Prove Angle ABO=Angle ACO and hence prove OB=OC

Answer 1

Answer:

Step-by-step explanation:

The sides OB and OC are equal by CPCT

Step-by-step explanation:

Given  OA bisects angle A. we have to prove that OB=OC

In triangle OAB and OAC,

∠ABO=∠ACO     (∵Given)

∠BAO=∠CAO     (∵OA bisects angle A)

AO=AO               (∵Common side)

By AAS postulate, ΔOAB≅ΔOAC

Since corresponding parts of congruent triangles are congruent

∴ By CPCT, OB=OC

Hence proved.

Hope this helps.....