Answer :
Join chords AP and DQ
For chord AP,
∠PBA = ∠ACP (Angles in the same segment) (i)
For chord DQ,
∠DBQ = ∠QCD (Angles in the same segment) (ii)
ABD and PBQ are line segments intersecting at B
∠PBA = ∠DBQ (Vertically opposite angles) (iii)
From (i), (ii), and (iii), we get
∠ACP = ∠QCD
hence proved
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