1. The problem is to construct the bisector of \(\angle DEF\).\n\n2. The angle bisector divides the angle into two equal parts. To construct it, use a compass to draw arcs from vertex \(E\) intersecting both rays \(ED\) and \(EF\).\n\n3. Mark the intersection points as \(X\) on \(ED\) and \(Y\) on \(EF\).\n\n4. With the same compass width, draw arcs from points \(X\) and \(Y\) so that these arcs intersect each other. Label the intersection as \(Z\).\n\n5. Draw a straight line from vertex \(E\) through point \(Z\). This line is the bisector of \(\angle DEF\).\n\nThis construction ensures the angle is split into two congruent angles by the bisector line.\n