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Not sure why it is marked wrong. The answer is 66°.

∠YOB = 180-90-55 = 35° (sum of angles in triangle)
∠X2OA = 22° (folded paper)
∠X3OB = 35° (folded paper)
∠XOY = 180-22-22-35-35 = 66° (sum of angles on straight line)

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