In the figure below, PQ=QR=RS.Find the length of TU

Answer:
The length of TU is 9 units.
Step-by-step explanation:
In the figure, given 4 parallel lines and also a transversal with equal intercepts PQ=QR=RS. And given another transversal line with TX=3 units.
we have to find the length of TU
By the theorem, "If 3 parallel lines cut off equal segments on some transversal then they cut off equal segments on any of other transversal line"
Hence, TX=XZ=ZU=3
TU=TX+XZ+ZU=3+3+3=9 units
Hence, the length of TU is 9 units.