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In the provided figure the marking are done by the rule that 'the two tangents drawn to a circle from a fixed point has same length'

As the quadrilateral is a rectangle
   ∴ a=b+c-d-----------------------------------(1)

From the above reason
   from (1)
   ⇒ 2b=2d
   ⇒ b=d-----------------------------------------(2)

Substituting from (2) in (1)
   ⇒ a=c------------------------------------------(3)
   From (2) and (3)
      a+d = a+b-----------------------------------(4)
  Similarly we can prove that
and      b+c=c+d------------------------------------(6)
and      c+d=a+d------------------------------------(7)
From (4) , (5) , (6) and (7) we can prove that the rectangle is a square.
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