SOLUTION: in ∆ABC ,AB=AC. Bisectors of ang. B and ang. c meet at O. If ang. A=40�,find the measure of ang. BOC. THANKYOU .

Question 1041488: in ∆ABC ,AB=AC. Bisectors of ang. B and ang. c meet at O. If ang. A=40�,find the measure of ang. BOC.
THANKYOU .
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
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 be the measure of any one of these four angles.
==> ==> .
==> Isoscles triangle BOC has base angles each measuring .
==> Measure of angle BOC = .
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SOLUTION: in &#8710;ABC ,AB=AC. Bisectors of ang. B and ang. c meet at O. If ang. A=40�,find the measure of ang. BOC. THANKYOU .

SOLUTION: in ∆ABC ,AB=AC. Bisectors of ang. B and ang. c meet at O. If ang. A=40�,find the measure of ang. BOC. THANKYOU .