Problem

Source: Stars of Mathematics 2018, Juniors, Problem 3

Tags: geometry, trapezoid, rhombus



Let be an isosceles trapezoid such that its smaller base is equal to its legs, and a rhombus that has each of its vertexes on a different side of the trapezoid. Prove that the smaller angles of the trapezoid are equal to the smaller ones of the rhombus. Vlad Robu