The sum of either part of opposite angles of a cyclic quadrilateral is `180^@`

The sum of either pair of opposite angles of a cyclic quadrilateral is 180^(@) OR The opposite angles of a cyclic quadrilateral are supplementary.

Theorem 10.11 : The sum of either pair of opposite angles of a cyclic quadrilateral is 180º.

Prove that the sum of opposite pair of angles of a cyclic quadrilateral is 180^(@)

If the sum of any pair of opposite angles of a quadrilateral is 180^(@) ; then the quadrilateral is cyclic.

Theorem 10.12 : If the sum of a pair of opposite angles of a quadrilateral is 180º, the quadrilateral is cyclic.

The sum of the angles of a quadrilateral is

Definition of Cyclic quadrilateral

The opposite angles of a cyclic quadrilaterals are supplimentary

The sum of angles of a concave quadrilateral is