Answer:
see explanation
Step-by-step explanation:
The angle at the centre of the circle is equal to the measure of the arc that subtends it, thus
arc AB = 60°
Note that AC is the diameter of the circle, thus angle = 180°
arc BAC = arc AB + arc AC = 60° + 180° = 240°
Since the diameter is a straight angle then the third angle on AC is
180° - (32 + 60)° = 180° - 92° = 88°
arc BC = arc BE + arc EC = 32° + 88° = 120°
arc EA = arc EB + arc BA = 32° + 60° = 92°
arc ECA = arc EC + arc CA = 88° + 180° = 268°
