## ABCD is a cyclic quadrilateral as shown in figure. Find the angles of the cyclic quadrilateral.

Solution : We know that the sum of opposite angles of cyclic quadrilateral is 180 degrees. Angles A and C, Angles B and D form pairs of opposite angles in the given cyclic quadrilateral ABCD. \(\angle\)A + \(\angle\)C = 180 and \(\angle\)B + \(\angle\)D = 180 \(\implies\) (4y + 20) + 4x = 180 and …