Answer
First find the value of x:
5x + 55° = 2x + 100, because these angles are corresponding angles so they are equal.
5x + 55 = 2x + 100
-2x. -2x
3x + 55 = 100
-55. -55
3x = 45
÷ 3. ÷3
x = 15
Angle 2 is supplementary to angle 5x + 55 or 130°, so angle 2 equals 180 - 130 = 50°