Final answer:
Angles E and G are either congruent or supplementary depending on their position in relation to transversal r and parallel lines p and q. Without a diagram, it isn't certain which description applies, but congruent implies they have the same measure, and supplementary implies their measures add up to 180 degrees.
Step-by-step explanation:
The question refers to a transversal line r that cuts two parallel lines p and q. When a transversal cuts parallel lines, several pairs of angles are formed with specific properties. The properties of these angles can be used to determine whether they are congruent or supplementary.
Given that this is a geometry question which involves transversal lines and parallel lines, certain types of angles are formed which are known by special names such as alternate exterior angles, corresponding angles, alternate interior angles, and vertical angles. If angles are said to be alternate exterior or corresponding, and the lines p and q are parallel, then those angles are congruent, meaning they have the same measure. On the other hand, if angles form a straight line, such as when they are alternate interior or are adjacent to each other, they are supplementary, meaning their measures add up to 180 degrees.
In this case, without a diagram, we can infer that if angles E and G are either alternate exterior or corresponding, they are congruent to each other. Therefore, Option 1 or Option 2 can be correct based on the specific position of angles E and G. However, if E and G are alternate interior angles or form a pair of adjacent angles on a straight line, they would be supplementary.