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P is a point on the side B C of a triang...

`P` is a point on the side `B C` of a triangle `A B C` such that `A B=A Pdot` Through `Aa n dC ,` lines are drawn parallel to `B Ca n dP A ,` respectively, so as to intersect at `D` as shown in Figure. Show that `A B C D` is a cyclic quadrilateral.

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