Answer:
86°
solution,
Draw a line RM parallel to line PQ and ST .And the line RM divides the angle W in two part .i.e x° and y°
<w=X+y
If RM is parallel to ST then,
<MRT=<SRT (being alternate angles)
<X=34°
If RM is parallel to PQ then,
<PQR=<MQR( being alternate angles)
52°=y
y=52°
now,
w=X+y
=34° +52°
=86°
Hope this helps...
Good luck on your assignment..