I was giving the following question:
Let ABC be a triangle. The outer angle bisector of B and the outer angle bisector of C meet in point O. I need to show that AO is the angle bisector of A.
In the question there's some guidance that says that from point O we should draw a perpendicular line to BC and to AB and to AC.
I've been trying to solve this question for a couple of days now and still no success. I think that if I can show angle CBO is equal to BCO then that will allow me to solve the question.
I should also mention that I've basic understanding of geometry so I assume the answer is probably using mostly congruence sentences etc.
Thanks for your help.