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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.

triangle diagram

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.

  • 0
    Angles CBO and BCO will not be equal unless ABC and ACB are equal. Also, ABOC will not normally be a rectangle.2011-10-28
  • 0
    @AMPerrine I added an image to show the drawing that was given with the question. Do you have an idea of how to solve this question?2011-10-28

2 Answers 2