The angle AOD and COD are adjacent angles, the sum of which is 180, then the angle COD = 180 – 75 = 105.
In the triangle CDO, we determine the value of the angle CDO. Since the sum of the inner angles of the triangle is 180, the angle CDO = 180 – COD – OCD = 180 – 105 – 30 = 45.
Angle СDО = ABO as criss-crossing angles at the intersection of parallel straight lines ВС and АD of secant ВD, then angle ABO = 45.
Answer: The AВO angle is 45.
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