Given,
O is the center of the circle
And BOD = 160°
To find: The value of x and y
Here,
(I) BAD = 1/2 BOD [Therefore, BAD is a circumference angle and BOD is a central angle standing on the same arc of a circle.]
or, x = (1/2) x 160°
or, x = 80°
(II) BAD + BCD = 180° [Therefore, being opposite angles of a cyclic quadrilateral]
or, 80° + y = 180°
or, y = 180° - 80°
or, y = 100°
Therefore, 80° and y = 100°