Question

One angle of a linear pair is 12 less than half the other angle find both angles

Answer 1

The larger angle is "x" and the other is 1/2x-12. You add them both and get
3/2x-12 then you set it equal to 180 like "3/2x-12=180 because a linear pair of angles adds up to 180 degrees. So x=128 degrees and the other is 52 degrees

Answer 2

Angle1 + Angle2   = 180
x +          (x/2) -12 = 180
3/2x = 192
x = 128
Angle 1 = 128
Angle 2 = 52