In the given image, we have two intersecting lines, PQ and RS. We are asked to find the measure of angle U.
To determine the measure of angle U, we need to examine the relationships between the different angles in the figure.
Looking at the image, we can observe that angle U and angle QSR are vertical angles. Vertical angles are congruent, meaning they have the same measure. Therefore, the measure of angle U is equal to the measure of angle QSR.
In the given image, angle QSR is marked as 86°. Hence, the measure of angle U is also 86°.