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Step-by-step explanation:
⇒For chord AP,
⇒∠PBA=∠ACP ...Angles in the same segment --- (i)
⇒For chord DQ,
⇒∠DBQ=∠QCD ...Angles in same segment --- (ii)
⇒ABD and PBQ are line segments intersecting at B.
⇒∠PBA=∠DBQ ...Vertically opposite angles --- (iii)
By the equations (i), (ii) and (iii),
∠ACP=∠QCD
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