#2**+2 **

Note, angle BOC is supplementary to angle AOB

So AOB + BOC = 180

So

67 + BOC = 180

BOC = 113

And angle BAC is an inscribed angle which intercepts the same arc as central angle BOC.......and an inscribed angle which intercepts the same arc as a central angle measures (1/2) of the central angle

So.....BAC = (1/2)(BOC) = 56.5°

CPhill
Apr 7, 2017

#2**+2 **

Best Answer

Note, angle BOC is supplementary to angle AOB

So AOB + BOC = 180

So

67 + BOC = 180

BOC = 113

And angle BAC is an inscribed angle which intercepts the same arc as central angle BOC.......and an inscribed angle which intercepts the same arc as a central angle measures (1/2) of the central angle

So.....BAC = (1/2)(BOC) = 56.5°

CPhill
Apr 7, 2017