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Mathematical simulation test questions for senior high school entrance examination
∠COD = ∠ DOB (D is the midpoint of arc CB)

∠CAO = ∠CAB = ∠COD = ∠ DOB (common arc)

∠AOC +∠ COD + ∠ DOB = 180

∠AOC+∠COD+∠CAO = 180(∠CAO =∠DOB)

-∠ODP=90 (tangent)

∠ DPA = 90 (sum of APDO internal angles = 360; 360- 180-90=90)