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45°
Step-by-step explanation:
We know that sum of all the angles on a straight line is 180°
Therefore,
angle COE + angle AOC + angle AFO = 180°
=> 45° + 90° + angle AOC = 180°
=> 135° + angle AOC = 180°
=> angle AOC = 180°-135° = 45°
Now,
we know that vertically opposite angles are equal, and angle AOC and angle BOD are vertically opposite.
Therefore,
Angle AOC = Angle BOD = 45°
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