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Understanding Intersection of Tangents and Parallel Lines in Circles

This page explores the concept of tangents that do not intersect, emphasizing the scenarios when the lines are parallel, resulting in arcs of 180°. It also discusses the geometric properties when tangents intersect outside a circle, where segments M and N are congruent. It includes relationships involving angles 'a' = 180° - x and 'b' = 180° + x, elucidating the behavior of tangents relative to circles and providing insight into their geometric relationships.

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Understanding Intersection of Tangents and Parallel Lines in Circles

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  1. Intersecting Tangents Page 560

  2. When two tangents don’t intersect… • The lines are parallel • The arcs formed are both 180°

  3. When they intersect outside the circle… • M and N are congruent • a = 180° - x • b = 180° + x

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