(Originais Teachy 2023) - Question Medium of Mathematics

In the school yard, an irregular quadrilateral called Quadrilateral ABCD was painted, which will be used as a delimited area for a relay race. To facilitate the organization of the students during the relay race, the teachers decide to calculate the angles of the quadrilateral. a) Show how you can divide the quadrilateral into two triangles to help in calculating the angles. b) Identify the congruence between the formed triangles and explain how this can help in determining the angles of Quadrilateral ABCD. c) Using the properties of congruent triangles, what additional information is needed to calculate the angles of the quadrilateral?