Question

here is the question

Answer 1

by construction, produce AB and CD such that they intersect at a point M
now AM=CM (being the tangents of bigger circle)

and BM=DM (tangent of smaller circle from fixed point)

now as
AM =CM
or AB+BM=CD+DM

but BM=DM

so AB=CD

Hence proved

Answer 2

In this way ,, We can solve easy