Answer:
the angle SWX is 108 degrees - true.
the angles QRT and TRU are supplementary - true.
Explanation:
a turn on a line (from one direction to the other) is always 180 degrees in total. any part turns (angles) cover parts of that 180 total and leave the remainder "open".
we know the "inner" angle RWS is 72 degrees. it's "outer" angle SWX must then be the remainder of 180 degrees on the line TX.
180 - 72 = 108 degrees.
UR and QS are not parallel, as they have a crossing point (R). parallel lines never cross each other.
TX and QS are not perpendicular, as they have an angle of 18 degrees to each other. but perpendicular lines have an angle of 90 degrees with each other.
QRT and TRU are supplementary, as together they build the 90 degree angle QRU without any overlap.