Search in Secant articles.
TL;DR: When two secants slice through a circle, or a secant and a tangent meet at one, the angle they form depends on where their vertex sits. Inside the circle, on the circle, or outside the circle: three locations, three rules. Each rule comes down to taking either half the sum or half the difference […]
A secant-tangent angle formed outside a circle equals half the difference of the two intercepted arcs; a tangent-tangent angle follows the same rule. When the vertex sits on the circle, the angle is half the intercepted arc instead. Below: each case with a worked example. Secant-Tangent Angle: Formed when a secant line and a tangent […]
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