To show x=71° and y=48°, additional context is needed. The congruency of two triangles could be shown using ASA, SAS, or SSS conditions depending on additional information obtained.
The determination of angles x and y necessitates additional context and information from the provided diagram, as the excerpts lack specific reference to these angles. Generally, proving the congruence of two triangles involves applying congruence conditions such as Angle-Side-Angle (ASA), Side-Angle-Side (SAS), or Side-Side-Side (SSS). If values for x and y, such as x=71° and y=48°, are given, congruence may be established by demonstrating equality in either two angles and the side between them (ASA), two sides and the angle between them (SAS), or all three sides (SSS) of the triangles.
Without a detailed diagram or specific conditions provided, the specific method of proving congruence remains indeterminate. It emphasizes the importance of a comprehensive view of the diagram and information to employ the appropriate congruence conditions and solve for angles x and y accurately.