Answer:
100 degrees
Step-by-step explanation:
Angle 1 + Angle 2 = 180 degrees (linear pair theorem)
Angle 2 = Angle 6 (verticle angles theorem)
Thus, we can substitute the given values of angle one and angle six into the following equation:
Angle 1 + Angle 6 = 180
4x - 20 + 5x - 25 = 180
9x - 45 = 180
9x = 225
x = 25 degrees
Angle 2 = Angle 6
5x - 25 = Angle 6, so 5x - 25 = Angle 2
5(25) - 25 = Angle 2
100 degrees = Angle 2
