The two triangles that make up the parallelogram are congruent, which means their corresponding angles are congruent. The opposite angles are both 115 degrees and angle 1 is equal to 50 degrees, as they are corresponding angles.
Interior angles of triangles add to equal 180 degrees, so you can set up an equation to find m<2:
180 = 115 + 50 + x
180 = 165 + x
15 = x
Answer:
The measure of angle 2 is 15 degrees.
