Question

in the given figure AB and CD are diameters of a circle with Centre O if Angle ABD =40degree find angle AOC and angle ACD

Answer 1

angle acd is 40 degree since angle abd and acd lie on the same segment of the circle

Answer 2

/_ ABD= /_ACD (/_s in same segment )
=> /_ ACD= 40
/_ ACD=/_OAC ( OA = OC )
=> /_OAC=40
/_OAC+/_ ACD+/_AOC =180
=>/_AOC=100