Answer:
[tex]\frac{RX}{RT}=\frac{SX}{ST}[/tex]
Step-by-step explanation:
The options of the questions are
RX/ST = TR/XS
TX/XR = ST/RT
RX/RT = SX/ST
RX/RS = XS/ST
we know that
The Angle-Bisector theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides
In this problem we have
TX bisect < RTS
then
[tex]\frac{ST}{RT}=\frac{SX}{RX}[/tex] ----> by Angle Bisector Theorem
Rewrite the expression
[tex]\frac{RX}{RT}=\frac{SX}{ST}[/tex]
