If \( \mathrm{m} \angle \) UTY \( =115^{\circ} \), what is \( \mathrm{m} \angle \mathrm{STU} \) ? A. \( 115^{\circ} \) B. \( 137^{\circ} \) C. \( 108^{\circ} \) D. \( 223^{\circ} \)

To find \( \mathrm{m} \angle \mathrm{STU} \), we can use the fact that the angles around point T sum up to \( 360^{\circ} \). Since the angle UTY is given as \( 115^{\circ} \), we can compute \( \mathrm{m} \angle \mathrm{STU} \) as follows: \[ \mathrm{m} \angle \mathrm{STU} = 360^{\circ} - \mathrm{m} \angle UTY = 360^{\circ} - 115^{\circ} = 245^{\circ} \] Since this value is not among the options provided, it's possible that angles could be measured in a specific context, such as inside a triangle or linear pairs. Without more information about angles U, T, and S, we can't definitively select an answer. However, based on the choices, if we're looking for the supplement (other side of the angle in a linear pair), we would subtract \( 115^{\circ} \) from \( 180^{\circ} \): \[ \mathrm{m} \angle \mathrm{STU} = 180^{\circ} - 115^{\circ} = 65^{\circ} \] This isn't available either, but among the choices, logically it appears that none directly fit \( \mathrm{m} \angle \mathrm{STU} \) under standard configurations. Would it be possible for you to provide additional context or details? For the angle options available, none directly correlate by basic relationships, but as per calculations, the broader interpretation suggests \( \mathrm{m} \angle \mathrm{STU} \) could likely be either \( 115^{\circ} \) or \( 137^{\circ} \), depending on how one is identifying angles respective to each other. Assuming that the scenario maintains a basic linear relationship, the expectation would mark: Therefore the best answer according to surrounding angle evaluations leads toward \( \text{Option A: } 115^{\circ} \) where direct positioning led toward miscues in normal evaluations.