Mathematics · Geometry

A pair of straight lines from an external point F intersects a circle at A and B (FA < FB), and touches the circle at C. O is the centre of the circle. Given that &ang;ACF = 50° and &ang;AFC = 30°, find &ang;AOB.

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A pair of straight lines from an external point F intersects a circle at A and B (FA < FB), and touches the circle at C. O is the centre of the circle. Given that &ang;ACF = 50&deg; and &ang;AFC = 30&deg;, find &ang;AOB.