Use the diagram to complete the statement.

Two parallel lines A B and D E are drawn. Line segments A E and B D intersect at point C. A perpendicular line segment is drawn from point G which lie at a distance of 3 units from point A. The line through point G intersects the line D E at point F. The length of segment A B, C D, F E, and G C are labeled 7 units, 12 square root 2 units, 9 units, and 4 units respectively. The measure of angle B A C and angle A B C are labeled 53 degrees and 45 degrees.