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

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

Angle1 + Angle2 = 180

x + (x/2) - 12 = 180

3/2x = 192

x = 128

Angle 1 = 128

Angle 2 = 52