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Step-by-step explanation:
Angle DBC = Angle DAC. (angles from same point)
Angle DAC = 55°
Angle BAD = Angle BAC + Angle DAC = 100°
Angle BAD + Angle BCD = 180° (angles of cyclic quadrilateral)
100° + Angle BCD = 180°
Angle BCD = 180°-100°
Angle BCD = 80°
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