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Answer:
70°
Step-by-stepp explanation:
O is the circumcenter of triangle ABC . Therefore OA = OB = OC =radius of circumcircle.
In triangle ABC :-
Angle BAC+Angle ABC +Angle BCA=180°.
85°+AngleABC +75° =180°
Angle ABC =180°-160° = 20°.
In triangle OAC:-
OA =OC = radius of circumcircle.
so that angle OAC = angle OCA = x°(let).
Angle AOC = 2×Angle ABC = 2×20° = 40°.
Angle OAC + Angle OCA+ Angle AOC = 180°.
x`+ x° + 40° = 180°.
2x° = 180° - 40° = 140°.
x = 140°/2 = 70°.
Angle OAC = x° =70° , Answer.
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