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omgiloverice

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HSC
2013
For part 1 you know that the length of arc is proportional to the size of the angle, (L = rθ) therefore in order for the ratios of AC:CB to be 2:1, the angles must be double of each other (AC = r2θ) (CB = rθ), now with this knowledge you can deduce 180°= 2θ + θ, now you can work out the angles and part 2 by yourself,
 

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