Answer :


Join OC and OD.


ABC = BCD = 25°[Alternate angles]


The angle subtended by an arc of a circle at the center is double the angle subtended by the arc at any point on the circumference.


BOD = 2 × BCD


BOD = 2 × 25°


BOD = 50°


Similarly,


AOC = 2 × ABC


AOC = 2 × 25°


AOC = 50°


Now,


AOB = 180° [AOB is a straight line]


AOC + COD + BOD = 180°


50° + COD + 50° = 180°


100° + COD = 180°


COD = 80°


CED = (1/2) COD


CED = (1/2) 80°


CED = 4


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