- The 2 lines are labeled script l and j.
- Point upper A and point upper B are on line script l.
- Point upper C and point upper D are on line j.
- Line segments upper A upper C, upper A upper D, and upper B upper D are drawn between line script l and line j.
- Point upper E is on line segment upper A upper C.
- Point upper G is on line segment upper B upper D.
- Line segment upper E upper G is drawn from line segment upper A upper C to line segment upper B upper D.
- Line segment upper E upper G and line segment upper A upper D intersect at point upper F.
- The following 4 triangles are formed by the intersection of the 2 lines and 4 line segments:
- Triangle upper A upper C upper D
- Triangle upper A upper E upper F
- Triangle upper D upper B upper A
- Triangle upper D upper F upper G
- 3 angles are labeled as follows:
- The measure of angle upper A upper D upper C is x°.
- The measure of angle upper A upper E upper F is x°.
- The measure of 1 angle formed by the intersection of line script l and line segment upper A upper C and exterior to triangle upper A upper C upper D is x°.
- A note indicates the figure is not drawn to scale.
In the figure, and intersect at point , and line is parallel to line . If and , which of the following must be true?