MathDB
Interior angles in a cyclic quadrilateral with given sides

Source: Germany 2016 - Problem 5

June 19, 2016
geometrycyclic quadrilateraltrigonometryangle

Problem Statement

Let A,B,C,DA,B,C,D be points on a circle with radius rr in this order such that AB=BC=CD=s|AB|=|BC|=|CD|=s and AD=s+r|AD|=s+r. Find all possible values of the interior angles of the quadrilateral ABCDABCD.