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Please answer without trigonometry; using knowledge of tangents and circles. Thanks! ? Stuart has drawn a pair of concentric circles, as shown. He draws chords

Please answer without trigonometry; using knowledge of tangents and circles. Thanks!

Stuart has drawn a pair of concentric circles, as shown. He draws chords /LB. BC, ... of the large circle, each tangent to the small one. If m/ ABC = 75%, then how many segments will he draw before returning to his starting point at A? A B

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