In the following figure (not to scale),A and P B are equal chords and A B C D is a cyclic quadril...

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In the following figure (not to scale),A and P B are equal chords and A B C D is a cyclic quadrilateral. If ∠ D C E=80^∘, ∠ D A P=30^∘, then find ∠ A P B.
(a) 40^∘
(b) 80^∘
(c) 90^∘
(d) 160^∘

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