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

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

The sum of either pair of opposite angles of a cyclic quadrilateral is 180^0 OR The opposite angles of a cyclic quadrilateral are supplementary.

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

Prove that the sum of two consecutive angles of a parallelogram is 180^(@).

Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent.

Prove that the sum of the three angles of a triangle is 180^0dot

The minimum value of the sum of the lengths of diagonals of a cyclic quadrilateral of area a^(2) square units, is

If the bisectors of the opposite angles /_Aa n d/_B of a cyclic quadrilateral A B C D intersect the corresponding cicle at P an d Q respectively, then P Q is a diameter of the circle.

Prove that the bisectors of opposite angles of a parallelogram are parallel.

If bisectors of opposite angles of a cyclic quadrilateral ABCD intersect the circle, circumscribing it at the points P and Q, prove that PQ is a diameter of the circle.