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Construct a perpendicular of AB and CD from B to D .
so now OBD = 90°-55° = 35°
similarlyODB = 90°-38° = 52°
through angle sun property of a triangle,
OBD+ODB+x = 180°
35° + 52° + x = 180°
87° + x = 180°
x = 180° - 87°
x = 93°
hope this helps you
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