KnowraDirected angleLinked fromLinked fromThe 6 pages that link to Directed angle, each with the reason it gives.All 6Related 5Compared with 1AngleRelated: It distinguishes clockwise from counterclockwise turns, unlike ordinary unsigned measures.Miquel's theoremRelated: Modulo-180 angle sums handle intersections and cyclicity without separate orientation cases.Simson lineRelated: Directed angles handle projections onto extended sides without separate cases.Butterfly theoremRelated: Directed angles simplify the incidence and parallelism relations in synthetic proofs.Six circles theoremRelated: Angle chasing turns the local circle incidences into a final cyclicity condition.Internal and external anglesCompared with: Signed conventions distinguish an exterior turn from the undirected angle between two lines.