Using the diagram below.

Without the diagram provided, it is not possible to determine the measures of ∠RQS and ∠TQS. Please provide a diagram or more information.

Without the actual diagram, it is difficult to determine the exact angles. However, based on the information given, we can make a few deductions.

1. ∠RQT is a straight angle, which means it measures 180 degrees.

2. ∠RQS and ∠TQS are adjacent angles formed by intersecting lines RQ and QS. Since they are adjacent, their measures add up to 180 degrees (the value of a straight angle).

So, to find the measures of ∠RQS and ∠TQS, we need more information about the angles or the given diagram to calculate their specific values.