Angle-Arc Inequalities

Before this, knowAngle from Secants: Vertex Outside Circle Angle from Chords or Secants: Vertex Inside Circle

Illustrated · 1 min

Blurb/stub article

In the configurations from here and here, we sometimes want bounds on $\angle{AXB}$ (for example, later when doing cyclic quadrilateral characterizations).

Diagram 1 (secants/chords intersect inside circle)

Diagram 2 (secants intersect outside circle)

Diagram 3 (secant and tangent intersect (outside of circle necessarily))

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