The opposite angles of a cyclic quadrilateral are `……………`

The opposite angles of a cyclic quadrilaterals are supplimentary

Prove that opposite angles of a cyclic quadrilateral are supplementary

State the converse of the following theorem. "The pairs of opposite angles of a cyclic quadrilateral are supplementary".

Answer the following by a number or a word or a sentence : What is the sum of opposite angles of a cyclic quadrilateral ?

Sum of opposite angles in a cyclic quadrilateral is …………

In order to prove 'Opposite angles of a cyclic quadrilateral are supplementary .' (1) Draw a neat labelled figure. (2) Write 'Given ' and 'To prove' from the figure drawn by you.

Procedure : (i) Draw a circle of many radius with centre O. (ii) Mark any four points A,B,C and D on the boundary. Make a cyclic quadrilateral ABCD and name the angles as in Fig. 1 (iii) Make a replica of the cyclic quadrilateral ABCD with the help of tracing paper (iv) Make the cutout of the angles A,B,C and D as in Fig. 2 (v) Paste the angle cutout angle1,angle2,angle3 and angle4 adjacent to the angles opposite to A,B,C and D as in Fig . 3 Measure the angles angle1+angle3 , and angle2+angle4 . Observe the Fig. 3 and complete the following : {:((i),angleA+angleC= . . . . . . . ,(ii),angleB+angleD =. . . . . . .),((iii),angleC+angleA= . . . . . . .,(iv),angleD+angleB= . . . . . . .):} 2. Sum of opposite angles of a cyclic quadrilateral is . . . . . . . . 3. The opposite angles of a cyclic quadrilateral is . . . . . . .

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

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