In the diagram below, O is the circumcenter of \(\Delta \)ABC. If Angle BAC = 28 and Angle OAC=32, then what is the degree measure of AOC?
https://latex.artofproblemsolving.com/d/e/3/de3eeab41d63a04f82bdbeb5b5d702a581fbc004.png
Because OA and OC are radii of the circumcircle, then in triangle OAC, angle OAC = angle ACO = 32
So....angle AOC = [ 180 - 2 measure of amgle OAC ] / 2 = [ 180 - 2*32 ] / 2 =
[ 180 - 64 ] / 2 = 58°
+468 
