Answer:
[tex]SR=12\ units[/tex]
Step-by-step explanation:
we know that
Triangles RTS and QTS are congruent by SAS postulate
so
SR=SQ
substitute the given values
[tex]2x+8=8x-4[/tex]
Solve for x
[tex]8x-2x=8+4[/tex]
[tex]6x=12[/tex]
[tex]x=2[/tex]
Find out the length of segment SR
[tex]SR=2x+8[/tex]
substitute the value of x
[tex]SR=2(2)+8=12\ units[/tex]
