Question 1041488
From the given AB = AC we know that the triangle is isosceles.

==> angle B is congruent to angle C

Since lines OB and OC bisect angles B and C respectively, angles ABO, OBC, ACO, and OCB are all congruent.  
Let {{{alpha}}} be the measure of any one of these four angles.

==> {{{4*alpha + 40^o = 180^o}}}  ==> {{{alpha = 35^o}}} .

==> Isoscles triangle BOC has base angles each measuring {{{35^o}}}.

==> Measure of angle BOC = {{{180^o - 2*35^o = 110^o}}}.