The given figure:
In the given figure, we have two parallel lines, l and m, intersected by two transversals, n and p. Angle 1 is given as 85 degrees.

Definition of parallel lines:
Parallel lines are lines in a plane that do not intersect, no matter how far they are extended.

Definition of transversal:
A transversal is a line that intersects two or more other lines.

Corresponding angles:
When two parallel lines are intersected by a transversal, the corresponding angles are congruent. This means that if two angles are in the same position relative to the parallel lines and the transversal, they have the same measure.

Angle 1 and angle 2:
In the given figure, angle 1 and angle 2 are corresponding angles. Since angle 1 is given as 85 degrees, angle 2 must also be 85 degrees.

Explanation:
Because lines l and m are parallel and angles 1 and 2 are corresponding angles, we can conclude that angle 2 is also 85 degrees. This is a direct application of the corresponding angles theorem.

Summary:
- In the given figure, lines l and m are parallel, and angles 1 and 2 are corresponding angles.
- Corresponding angles are congruent when two parallel lines are intersected by a transversal.
- Therefore, since angle 1 is given as 85 degrees, angle 2 must also be 85 degrees.