Triangle Angle Relationships in Engineering Structural engineers use the angle relationships for triangles to build house roofs. A series of triangular braces form a structure called a truss. The triangles work together to spread the force applied to any point on the roof to the exterior walls of the house. Two common truss designs are shown. Use angle relationships to label all of the angle measures. 60° 55% 60° 40% X- X 1. What would happen if one of the engineers changes the measure of one of the angles in the truss? Explain.