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Secant/Tangent Angles

This section explores the relationships between angles formed by secants and tangents in circles. We will cover key rules and formulas, including how angles relate to intercepted arcs. Specific cases will be examined, such as intersections on the circle where the angle is half the intercepted arc, and intersections inside the circle where the angle is half the sum of intercepted arcs. Through diagrams and examples, we will determine the value of unknown angles with given degrees, such as finding x when angles are provided.

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Secant/Tangent Angles

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  1. Secant/Tangent Angles Section 10.5 – Part One

  2. A 1 O B Central Angles Rule Diagram The angle is the same as the intercepted arc. Formula

  3. C 2 D Case 1: Intersection on the Circle Rule Diagram The angle is half the intercepted arc. Formula

  4. E G 3 F Case 1: Intersection on the Circle Rule Diagram The angle is half the intercepted arc. Formula

  5. Find x. S 100⁰ R T x

  6. J H 4 K L Case 2: Intersection inside the Circle Rule Diagram The angle is half the sum of the intercepted arcs. Formula

  7. Find x. N ° 60 x M O ° 100 P

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