Question

a circle touches all the four sides of a quadrilateral.prove that the angle subtended at the centee by the sides of a quadrilateral are complementry to each other.​

Answer 1

I don't know how to prove but I am sure that the quadilateral must be a square or a rhombus. From this we can prove that the diagonals bisect each other at centre of the circle which is equal to 90°.