2. Angle in a Semi-Circle

Line AB is a diameter of the circle. Point C is a point on the circumference.[br]Move around the Point C to change the shape of [math]\bigtriangleup ABC[/math].[br][br]What happens to [math]\angle ACB[/math] as Point C is moved?[br][br]How does this relate to the Central Angle Theorem?

Information: 2. Angle in a Semi-Circle