Question 474699
Since SU bisects RST, angle RSU plus angle UST equals angle RST.

We are given RST = 6x -2
We are given RSU = 3x -1
We are given UST = 2x + 13

Therefore, 3x - 1 + 2x + 13 = 6x -2
5x + 12  = 6x - 2
14 = x

RST = 6(14)  - 2 = 82
RSU = 3(14) - 1  = 41
UST = 2x + 13   =  41

Therefore, this does check.

Cleomenius