- In the adjoining figure, line m is parallel to line n.
- Angle 1 is given as 50 degrees.


To find the value of angle 2, we need to understand the properties of parallel lines and angles formed by a transversal.


When two lines are parallel, any line that intersects them is called a transversal. The angles formed by the transversal and the parallel lines have specific relationships.


- Corresponding angles are formed on the same side of the transversal and at the same position relative to the parallel lines.
- Corresponding angles are congruent (i.e., they have the same measure).


- Alternate interior angles are formed on opposite sides of the transversal and between the parallel lines.
- Alternate interior angles are congruent.


- Angle 1 and angle 2 are corresponding angles as they are formed on the same side of the transversal (line m) and are at the same position relative to the parallel lines (line n).
- Corresponding angles are congruent, so angle 1 = angle 2.


Based on the given information, angle 1 is given as 50 degrees. Since angle 1 and angle 2 are corresponding angles, they have the same measure. Therefore, angle 2 is also 50 degrees.

Angle 1= Angle 2
so,
Angle 2 = 50'