Final answer:
The question involves comparing the lengths of line segments PR and QS in high school geometry. PR and QS are stated to be equal in length, thus they are congruent. The significance of the 105° angle in relation to these segments cannot be determined without additional context.
Step-by-step explanation:
The question seems to be related to geometry, comparing the lengths of line segments PR and QS. However, it's worth noting that the question contains a few ambiguities or typos that we have to ignore to provide a meaningful answer. We are told that PR = QS and given an angle measurement of 105°, though the angle's relevance is unclear without further context, such as a diagram or additional information.
If PR is equal in length to QS, and because lengths are a property of the line segments themselves and not dependent on the angles they might form with other segments unless we are considering a specific geometric figure, we can conclude that PR and QS are congruent.
The information regarding the 105° angle does not directly contribute to the comparison of the lengths of PR and QS without additional context. To establish a more concrete relationship between the line segments and the angle, a diagram or description indicating how the angle is connected to the segments would be necessary.