Circle Theorem 1 - Central vs Inscribed Angle

Move the points on the circumference of the circle. [br][br]Note: Due to GeoGebra's rounding this model only holds true when the angle at the centre is set to an even number.
Which point will not effect the central or inscribed angle as it is moved? Why is this?
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Information: Circle Theorem 1 - Central vs Inscribed Angle