Tangents

The document discusses two theorems about circles: the Tangent Theorem which states that a tangent line is perpendicular to the radius and tangent segments from an external point are congruent. It also discusses the Tangent Chord Theorem which says the angle between a tangent and chord is equal to the inscribed angle on the opposite side of the chord. It then provides two geometry problems - one asking to find the value of x where a tangent meets a circle, and another asking to find the measures of two angles.