Final answer:
The measure of angle pqt can be determined by the properties of angles formed by a transversal cutting a set of parallel lines.
Step-by-step explanation:
The measure of angle pqt can be determined by the properties of angles formed by a transversal cutting a set of parallel lines. Since points p, q, and s are collinear, we can consider line pqs.
From the given information, line qt bisects angle pqr. This means that angle pqt is equal in measure to angle tqs.
Therefore, the measure of angle pqt is equal to the measure of angle tqs.