Answer:
The given information suggests that lines x and y intersect parallel lines r and c, forming two triangles. Let's denote the angles as follows:
- Angle formed by x at parallel line r: Angle 5
- Angle formed by y at parallel line r: Angle 4
- Angle formed by x at parallel line c: Angle 3
- Angle formed by y at parallel line c: Angle 2
- Angle at the intersection of lines x and y: Angle 1 (also Angle 6)
Since lines r and c are parallel, the angles formed by the transversal lines x and y are corresponding angles. Therefore, Angle 3 is congruent to Angle 5.