Answer:
I believe the measurement of angle 5, would be 114.
Explanation:
We can solve this by using alternate interior angles. First we must find the other alternate interior angle for angle 5. To do this we take 66 and subtract it from 180. We now find that the angle adjacent to the angle measuring 66 degrees is equal to 114 degrees. Now, the angle we just found the measurements for, is the alternate interior angle for angle 5. Therefore, since they are alternate interior angles, angle 5 is equal to 114 degrees.
I hope this helps!