QUESTIONA2.12.1 In the diagram, O is the centre of the circle. A, B and C are points on thecircumference of the circle. Chords AC and BC and radii AO, B0 and CO aredrawn. Â =x and B=y.%3DC2.B.201.1Determine the size of Ö, in terms of x.Hence, prove the theorem that states that the angle subtended by an arcat the centre is equal to twice the angle subtended by the same arc atthe circumference, that is AOB = 2ACB.20.1.2

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In the diagram, O is the centre of the circle. A, B and C are points on the circumference of the circle. Chords AC and BC and radii AO, BO and CO are drawn. A =x and B =y. 12 B. 201.1 Determine the size of O, in terms of x. Hence, prove the theorem that states that the angle subtended by an arc at the centre is equal to twice the angle subtended by the same arc at the circumference, that is AOB = 2AĈB. 201.2