Angle 1 and angle 2 lie on a straight line. This means that they are linear pairs. Recall, the sum of the angles on a straight line is 180 degrees
This means that
angle 1 + angle 2 = 180
From the information given,
angle 1 = 2x - 3
angle 2 = 8x
Thus,
2x - 3 + 8x = 180
By collecting like terms,
2x + 8x - 3 = 180
10x - 3 = 180
adding 3 to both sides,
10x - 3 + 3 = 180 + 3
10x = 183
Dividing both sides by 10,
10x/10 = 183/10
x = 18.3
To find angle 2, we would substitute x = 18.3 into 8x. It becomes
8 * 18.3
angle 2 = 146.4 degrees