The measure of angle 8 should be 114 degrees
Since lines a and b are parallel and that m angle 3= 66 degrees
We know that the sum of two angles should be 180 degrees
So, the measure of angle 8 should be
= 180 - 66
= 114 degrees
hence, The measure of angle 8 should be 114 degrees
Learn more about an angle here: https://brainly.com/question/17688754