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|BOC = 66° and |AOC = 54°
Step-by-step explanation:
78) angle OBC = 57° [ OC = OB radii ]
in ∆ OCB, |BOC + |OCB + |OBC = 180°
therefore |BOC = 180° - [ 57° + 57° ]
|BOC = 66°
in ∆ AOB, |ABO = 30° [ OA = OB radii ]
therefore |AOB = 180° - [ 30° + 30° ]
|AOB = 120°
therefore |AOC = |AOB - |BOC
=> |AOC = 120° - 66° => 54°
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