Answer:
ap × pc = dp × pb
Step-by-step explanation:
In ∆apb and ∆dpb [< is angle]
<a = <d (given)
<apb = <dpb (vertically opposite angles)
so, by aaa similarity ∆apb ~ ∆dpb [ ~ is similar]
hence , ap/pb = dp/pc (by s.p.s.t)
now cross multiplying this equation
ap × pc = dp × pc
Hence proved.
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