# Alternate Segment Theorem +--{: .image} [[AlternateSegmentTheorem.png:pic]] =-- Consider a [[circle]] with a [[triangle]] drawn inside it, so that the vertices of the triangle lie on the circle and the sides form [[chords]]. Draw a [[tangent]] to the circle at one of the vertices. Then the [[angle]] between the [[tangent]] and one of the [[chords]] is equal to the angle in the triangle that lies in the alternate [[segment]]. category: circle theorems