Question

If the bisectors of all four angles of a parallelogram are made to intersect each other then the new quadrilateral thus formed will be a:​

Answer 1

If the bisectors of all four angles of a parallelogram are made to intersect each other then the new quadrilateral thus formed will be a Cyclic Quadrilateral

• It is the property of the parallelogram which states that if all the angle bisectors of the angles of any of the parallelogram in which any of the two bisectors meet at any point inside the figure only the figure we get is the cyclic quadrilateral only.
• The obtained quadrilateral is the cyclic quadrilateral can be proved by finding the sum of the opposite angles of the quadrilateral, if that is 180°, then the quadrilateral must be a cyclic quadrilateral whether it is surrounded by the circle or not that doesn't matter