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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
 

 Nov 11, 2018
 #1
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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°

 

 

 

cool cool cool

 Nov 11, 2018

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