If bisectors of angle-A and angle-B of a quadrilateral ABCD intersect each other at point P, of angle-B and angle-C at Q, of angle-C and angle-D at R and of angle-D and angle-A at S, then show that PQRS is a quadrilateral whose opposite angles are supplementary.

If bisectors of angle-A and angle-B of a quadrilateral ABCD intersect

1.	If bisectors of angle-A and angle-B of a quadrilateral ABCD intersect each other at point P, of angle-B and angle-C at Q, of angle-C and angle-D at R and of angle-D and angle-A at S, then show that PQRS is a quadrilateral whose opposite angles are supplementary.
Answer» If bisectors of angle-A and angle-B of a quadrilateral ABCD intersect each other at point P, of angle-B and angle-C at Q, of angle-C and angle-D at R and of angle-D and angle-A at S, then show that PQRS is a quadrilateral whose opposite angles are supplementary.