AB is the chord of a circle with centre O and DOC is a line segment originating from a point D on the circle and intesecting AB produced at C such that BC = OD. If ∠BCD = 200, then ∠AOD = ?

This geometry problem requires analyzing angles in a circle with chord AB and point D on the circumference. Given BC = OD and ∠BCD = 20°, we can work through isosceles triangles and circle theorems to find that ∠AOD = 60°. The large values (200°, 300°, 400°, 600°) suggest this may use a different notation or the diagram is needed for clarity.