If lines P and Q are parallel, then we can apply the properties of parallel lines and corresponding angles, alternate interior angles, or same-side interior angles. However, we need to know the relationship between angle 8 and angle 2.
Without additional information about angle 2's position relative to angle 8 (for instance, whether it is a corresponding angle, an alternate interior angle, or located on the same side), it is not possible to determine the measure of angle 2 accurately.
Please provide more information about the positions of angle 2 and angle 8 in relation to the parallel lines P and Q.