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Proof: Angle between a tangent and a secant | Geometry (TX TEKS) | Khan Academy
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https://www.khanacademy.org/math/geometry-tx/x790e3ac3e338c450:relationships-of-circles-including-radian-measure-and-equations-of-circles/x790e3ac3e338c450:properties-of-secants/v/proof-angle-between-a-tangent-and-a-secant
Prove that the measure of the angle formed by a secant and a tangent intersecting at a point outside the circle is half the difference of the measures of the intercepted arcs. We'll construct a triangle, then use the properties of inscribed angles, tangents, and chords to convince ourselves that this is always true.
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