SOLUTION: In △ABC, AD is the angle bisector of ∠A and BE is the angle bisector of ∠B. If AD intersects BE at point O, find m∠AOB given the following: a m∠A=4

Algebra ->  Triangles -> SOLUTION: In △ABC, AD is the angle bisector of ∠A and BE is the angle bisector of ∠B. If AD intersects BE at point O, find m∠AOB given the following: a m∠A=4      Log On


   

Question 1162920: In △ABC,
AD
is the angle bisector of ∠A and
BE
is the angle bisector of ∠B. If
AD
intersects
BE
at point O, find m∠AOB given the following:
a
m∠A=44°, m∠B=76°
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


In triangle ABO, angle BAO is half of angle A, or 22 degrees, and angle ABO is half of angle B, or 38 degrees.

And angles ABO, BAO, and AOB have an angle sum of 180 degrees....