Answer:
The correct option is 1.
Step-by-step explanation:
Given information:[tex]TU=6[/tex]
From the given figure it is noticed that
[tex]RT=12[/tex]
[tex]RS=24[/tex]
[tex]RS=RT+TU+SU[/tex]
[tex]24=12+6+SU[/tex]
[tex]6=SU[/tex]
In first option,
[tex]SU+UT=RT[/tex]
[tex]6+6=12[/tex]
[tex]12=12[/tex]
Since left hand side is equal to right hand side, therefore option 1 is correct.
[tex]RT+TU=RS
[/tex]
[tex]12+6=24[/tex]
[tex]18=24[/tex]
This statement is not true, therefore option 2 is incorrect.
[tex]RS+SU=RU[/tex]
[tex]24+6=18[/tex]
[tex]30=18[/tex]
This statement is not true, therefore option 3 is incorrect.
[tex]TU+US=RS[/tex]
[tex]6+6=24[/tex]
[tex]12=24[/tex]
This statement is not true, therefore option 4 is incorrect.