Question

if the sides of a quadrilateral touch a circle group that the sum of pair of opposite sides is equal to the sum of the Other pair

Answer 1

hey,

here is ur answer

now

length of tangent drawn from external point to circle are equal.

AP=AS --> 1

BP=BQ --> 2

CR=CQ --> 3

DR=DS -->4

compare 1, 2, 3 and 4

AP + BP + CR + DR = AS + BQ + CQ +DS

AP + BP + CR + DR = AS + DS + BQ + CQ

AB + CD = AD + BC

hence proved.